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Finding the Third Proportional to 981,495 and 1,477,163

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Solution

The third proportional to 981,495 and 1,477,163 is: 2,223,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,495 : 1,477,163 = 1,477,163 : x
  2. Step 2: Convert to fraction form
    981,495/1,477,163 = 1,477,163/x
  3. Step 3: Cross multiply
    981,495x = 1,477,163 × 1,477,163
  4. Step 4: Simplify right side
    981,495x = 2,182,010,528,569
  5. Step 5: Solve for x
    x = 2,182,010,528,569/981,495
  6. Step 6: Final answer
    x = 2,223,149.92

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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.