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Finding the Third Proportional to 525,700.13 and 1,129,722.19

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Solution

The third proportional to 525,700.13 and 1,129,722.19 is: 2,427,757.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,700.13 : 1,129,722.19 = 1,129,722.19 : x
  2. Step 2: Convert to fraction form
    525,700.13/1,129,722.19 = 1,129,722.19/x
  3. Step 3: Cross multiply
    525,700.13x = 1,129,722.19 × 1,129,722.19
  4. Step 4: Simplify right side
    525,700.13x = 1,276,272,220,929.79
  5. Step 5: Solve for x
    x = 1,276,272,220,929.79/525,700.13
  6. Step 6: Final answer
    x = 2,427,757.12

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