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Finding the Third Proportional to 1,013,780 and 2,177,320

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Solution

The third proportional to 1,013,780 and 2,177,320 is: 4,676,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,780 : 2,177,320 = 2,177,320 : x
  2. Step 2: Convert to fraction form
    1,013,780/2,177,320 = 2,177,320/x
  3. Step 3: Cross multiply
    1,013,780x = 2,177,320 × 2,177,320
  4. Step 4: Simplify right side
    1,013,780x = 4,740,722,382,400
  5. Step 5: Solve for x
    x = 4,740,722,382,400/1,013,780
  6. Step 6: Final answer
    x = 4,676,283.20

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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.