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Finding the Third Proportional to 814,336 and 1,230,432

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Solution

The third proportional to 814,336 and 1,230,432 is: 1,859,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,336 : 1,230,432 = 1,230,432 : x
  2. Step 2: Convert to fraction form
    814,336/1,230,432 = 1,230,432/x
  3. Step 3: Cross multiply
    814,336x = 1,230,432 × 1,230,432
  4. Step 4: Simplify right side
    814,336x = 1,513,962,906,624
  5. Step 5: Solve for x
    x = 1,513,962,906,624/814,336
  6. Step 6: Final answer
    x = 1,859,137.88

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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.