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Finding the Third Proportional to 981,399 and 1,477,013

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Solution

The third proportional to 981,399 and 1,477,013 is: 2,222,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,399 : 1,477,013 = 1,477,013 : x
  2. Step 2: Convert to fraction form
    981,399/1,477,013 = 1,477,013/x
  3. Step 3: Cross multiply
    981,399x = 1,477,013 × 1,477,013
  4. Step 4: Simplify right side
    981,399x = 2,181,567,402,169
  5. Step 5: Solve for x
    x = 2,181,567,402,169/981,399
  6. Step 6: Final answer
    x = 2,222,915.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.