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Finding the Third Proportional to 488,472 and 1,029,424

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Solution

The third proportional to 488,472 and 1,029,424 is: 2,169,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,472 : 1,029,424 = 1,029,424 : x
  2. Step 2: Convert to fraction form
    488,472/1,029,424 = 1,029,424/x
  3. Step 3: Cross multiply
    488,472x = 1,029,424 × 1,029,424
  4. Step 4: Simplify right side
    488,472x = 1,059,713,771,776
  5. Step 5: Solve for x
    x = 1,059,713,771,776/488,472
  6. Step 6: Final answer
    x = 2,169,446.30

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.