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Finding the Third Proportional to 645,790 and 886,496

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Solution

The third proportional to 645,790 and 886,496 is: 1,216,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,790 : 886,496 = 886,496 : x
  2. Step 2: Convert to fraction form
    645,790/886,496 = 886,496/x
  3. Step 3: Cross multiply
    645,790x = 886,496 × 886,496
  4. Step 4: Simplify right side
    645,790x = 785,875,158,016
  5. Step 5: Solve for x
    x = 785,875,158,016/645,790
  6. Step 6: Final answer
    x = 1,216,920.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.