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Finding the Third Proportional to 678,016 and 920,822

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Solution

The third proportional to 678,016 and 920,822 is: 1,250,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,016 : 920,822 = 920,822 : x
  2. Step 2: Convert to fraction form
    678,016/920,822 = 920,822/x
  3. Step 3: Cross multiply
    678,016x = 920,822 × 920,822
  4. Step 4: Simplify right side
    678,016x = 847,913,155,684
  5. Step 5: Solve for x
    x = 847,913,155,684/678,016
  6. Step 6: Final answer
    x = 1,250,579.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.