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Finding the Third Proportional to 571,165.17 and 1,254,438.14

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Solution

The third proportional to 571,165.17 and 1,254,438.14 is: 2,755,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,165.17 : 1,254,438.14 = 1,254,438.14 : x
  2. Step 2: Convert to fraction form
    571,165.17/1,254,438.14 = 1,254,438.14/x
  3. Step 3: Cross multiply
    571,165.17x = 1,254,438.14 × 1,254,438.14
  4. Step 4: Simplify right side
    571,165.17x = 1,573,615,048,654.71
  5. Step 5: Solve for x
    x = 1,573,615,048,654.71/571,165.17
  6. Step 6: Final answer
    x = 2,755,096.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.