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Finding the Third Proportional to 981,286 and 1,461,561

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Solution

The third proportional to 981,286 and 1,461,561 is: 2,176,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,286 : 1,461,561 = 1,461,561 : x
  2. Step 2: Convert to fraction form
    981,286/1,461,561 = 1,461,561/x
  3. Step 3: Cross multiply
    981,286x = 1,461,561 × 1,461,561
  4. Step 4: Simplify right side
    981,286x = 2,136,160,556,721
  5. Step 5: Solve for x
    x = 2,136,160,556,721/981,286
  6. Step 6: Final answer
    x = 2,176,899.05

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Why These Related Problems?

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