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Finding the Third Proportional to 981,493 and 1,477,160

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Solution

The third proportional to 981,493 and 1,477,160 is: 2,223,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,493 : 1,477,160 = 1,477,160 : x
  2. Step 2: Convert to fraction form
    981,493/1,477,160 = 1,477,160/x
  3. Step 3: Cross multiply
    981,493x = 1,477,160 × 1,477,160
  4. Step 4: Simplify right side
    981,493x = 2,182,001,665,600
  5. Step 5: Solve for x
    x = 2,182,001,665,600/981,493
  6. Step 6: Final answer
    x = 2,223,145.42

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