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Finding the Third Proportional to 669,428 and 1,471,534

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Solution

The third proportional to 669,428 and 1,471,534 is: 3,234,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,428 : 1,471,534 = 1,471,534 : x
  2. Step 2: Convert to fraction form
    669,428/1,471,534 = 1,471,534/x
  3. Step 3: Cross multiply
    669,428x = 1,471,534 × 1,471,534
  4. Step 4: Simplify right side
    669,428x = 2,165,412,313,156
  5. Step 5: Solve for x
    x = 2,165,412,313,156/669,428
  6. Step 6: Final answer
    x = 3,234,720.26

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