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Finding the Third Proportional to 581,216 and 1,254,232

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Solution

The third proportional to 581,216 and 1,254,232 is: 2,706,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,216 : 1,254,232 = 1,254,232 : x
  2. Step 2: Convert to fraction form
    581,216/1,254,232 = 1,254,232/x
  3. Step 3: Cross multiply
    581,216x = 1,254,232 × 1,254,232
  4. Step 4: Simplify right side
    581,216x = 1,573,097,909,824
  5. Step 5: Solve for x
    x = 1,573,097,909,824/581,216
  6. Step 6: Final answer
    x = 2,706,563.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.