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Finding the Third Proportional to 981,388 and 1,461,698

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Solution

The third proportional to 981,388 and 1,461,698 is: 2,177,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,388 : 1,461,698 = 1,461,698 : x
  2. Step 2: Convert to fraction form
    981,388/1,461,698 = 1,461,698/x
  3. Step 3: Cross multiply
    981,388x = 1,461,698 × 1,461,698
  4. Step 4: Simplify right side
    981,388x = 2,136,561,043,204
  5. Step 5: Solve for x
    x = 2,136,561,043,204/981,388
  6. Step 6: Final answer
    x = 2,177,080.87

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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.