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Finding the Third Proportional to 2,231,358 and 4,877,436

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Solution

The third proportional to 2,231,358 and 4,877,436 is: 10,661,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,358 : 4,877,436 = 4,877,436 : x
  2. Step 2: Convert to fraction form
    2,231,358/4,877,436 = 4,877,436/x
  3. Step 3: Cross multiply
    2,231,358x = 4,877,436 × 4,877,436
  4. Step 4: Simplify right side
    2,231,358x = 23,789,381,934,096
  5. Step 5: Solve for x
    x = 23,789,381,934,096/2,231,358
  6. Step 6: Final answer
    x = 10,661,391.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.