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Finding the Third Proportional to 974,976 and 2,174,007

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Solution

The third proportional to 974,976 and 2,174,007 is: 4,847,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,976 : 2,174,007 = 2,174,007 : x
  2. Step 2: Convert to fraction form
    974,976/2,174,007 = 2,174,007/x
  3. Step 3: Cross multiply
    974,976x = 2,174,007 × 2,174,007
  4. Step 4: Simplify right side
    974,976x = 4,726,306,436,049
  5. Step 5: Solve for x
    x = 4,726,306,436,049/974,976
  6. Step 6: Final answer
    x = 4,847,613.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.