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Finding the Third Proportional to 981,280 and 1,461,552

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Solution

The third proportional to 981,280 and 1,461,552 is: 2,176,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,280 : 1,461,552 = 1,461,552 : x
  2. Step 2: Convert to fraction form
    981,280/1,461,552 = 1,461,552/x
  3. Step 3: Cross multiply
    981,280x = 1,461,552 × 1,461,552
  4. Step 4: Simplify right side
    981,280x = 2,136,134,248,704
  5. Step 5: Solve for x
    x = 2,136,134,248,704/981,280
  6. Step 6: Final answer
    x = 2,176,885.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.