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Finding the Third Proportional to 469,414 and 1,013,651

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Solution

The third proportional to 469,414 and 1,013,651 is: 2,188,874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,414 : 1,013,651 = 1,013,651 : x
  2. Step 2: Convert to fraction form
    469,414/1,013,651 = 1,013,651/x
  3. Step 3: Cross multiply
    469,414x = 1,013,651 × 1,013,651
  4. Step 4: Simplify right side
    469,414x = 1,027,488,349,801
  5. Step 5: Solve for x
    x = 1,027,488,349,801/469,414
  6. Step 6: Final answer
    x = 2,188,874.53

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