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Finding the Third Proportional to 683,366 and 1,060,864

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Solution

The third proportional to 683,366 and 1,060,864 is: 1,646,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,366 : 1,060,864 = 1,060,864 : x
  2. Step 2: Convert to fraction form
    683,366/1,060,864 = 1,060,864/x
  3. Step 3: Cross multiply
    683,366x = 1,060,864 × 1,060,864
  4. Step 4: Simplify right side
    683,366x = 1,125,432,426,496
  5. Step 5: Solve for x
    x = 1,125,432,426,496/683,366
  6. Step 6: Final answer
    x = 1,646,895.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.