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Finding the Third Proportional to 654,304 and 927,870

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Solution

The third proportional to 654,304 and 927,870 is: 1,315,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,304 : 927,870 = 927,870 : x
  2. Step 2: Convert to fraction form
    654,304/927,870 = 927,870/x
  3. Step 3: Cross multiply
    654,304x = 927,870 × 927,870
  4. Step 4: Simplify right side
    654,304x = 860,942,736,900
  5. Step 5: Solve for x
    x = 860,942,736,900/654,304
  6. Step 6: Final answer
    x = 1,315,814.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.