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Finding the Third Proportional to 1,013,776 and 2,177,312

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Solution

The third proportional to 1,013,776 and 2,177,312 is: 4,676,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,776 : 2,177,312 = 2,177,312 : x
  2. Step 2: Convert to fraction form
    1,013,776/2,177,312 = 2,177,312/x
  3. Step 3: Cross multiply
    1,013,776x = 2,177,312 × 2,177,312
  4. Step 4: Simplify right side
    1,013,776x = 4,740,687,545,344
  5. Step 5: Solve for x
    x = 4,740,687,545,344/1,013,776
  6. Step 6: Final answer
    x = 4,676,267.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.