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Finding the Third Proportional to 571,918.25 and 1,232,478.25

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Solution

The third proportional to 571,918.25 and 1,232,478.25 is: 2,655,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,918.25 : 1,232,478.25 = 1,232,478.25 : x
  2. Step 2: Convert to fraction form
    571,918.25/1,232,478.25 = 1,232,478.25/x
  3. Step 3: Cross multiply
    571,918.25x = 1,232,478.25 × 1,232,478.25
  4. Step 4: Simplify right side
    571,918.25x = 1,519,002,636,723.06
  5. Step 5: Solve for x
    x = 1,519,002,636,723.06/571,918.25
  6. Step 6: Final answer
    x = 2,655,978.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.