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Finding the Third Proportional to 930,976 and 1,423,517

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Solution

The third proportional to 930,976 and 1,423,517 is: 2,176,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,976 : 1,423,517 = 1,423,517 : x
  2. Step 2: Convert to fraction form
    930,976/1,423,517 = 1,423,517/x
  3. Step 3: Cross multiply
    930,976x = 1,423,517 × 1,423,517
  4. Step 4: Simplify right side
    930,976x = 2,026,400,649,289
  5. Step 5: Solve for x
    x = 2,026,400,649,289/930,976
  6. Step 6: Final answer
    x = 2,176,641.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.