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Finding the Third Proportional to 669,414 and 1,471,506

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Solution

The third proportional to 669,414 and 1,471,506 is: 3,234,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,414 : 1,471,506 = 1,471,506 : x
  2. Step 2: Convert to fraction form
    669,414/1,471,506 = 1,471,506/x
  3. Step 3: Cross multiply
    669,414x = 1,471,506 × 1,471,506
  4. Step 4: Simplify right side
    669,414x = 2,165,329,908,036
  5. Step 5: Solve for x
    x = 2,165,329,908,036/669,414
  6. Step 6: Final answer
    x = 3,234,664.81

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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.