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Finding the Third Proportional to 581,842,041.75 and 1,292,824,226.25

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Solution

The third proportional to 581,842,041.75 and 1,292,824,226.25 is: 2,872,591,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,842,041.75 : 1,292,824,226.25 = 1,292,824,226.25 : x
  2. Step 2: Convert to fraction form
    581,842,041.75/1,292,824,226.25 = 1,292,824,226.25/x
  3. Step 3: Cross multiply
    581,842,041.75x = 1,292,824,226.25 × 1,292,824,226.25
  4. Step 4: Simplify right side
    581,842,041.75x = 1,671,394,479,978,911,232
  5. Step 5: Solve for x
    x = 1,671,394,479,978,911,232/581,842,041.75
  6. Step 6: Final answer
    x = 2,872,591,459.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.