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Finding the Third Proportional to 488,478 and 1,029,436

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Solution

The third proportional to 488,478 and 1,029,436 is: 2,169,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,478 : 1,029,436 = 1,029,436 : x
  2. Step 2: Convert to fraction form
    488,478/1,029,436 = 1,029,436/x
  3. Step 3: Cross multiply
    488,478x = 1,029,436 × 1,029,436
  4. Step 4: Simplify right side
    488,478x = 1,059,738,478,096
  5. Step 5: Solve for x
    x = 1,059,738,478,096/488,478
  6. Step 6: Final answer
    x = 2,169,470.23

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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.