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Finding the Third Proportional to 5,746,446 and 8,569,845

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Solution

The third proportional to 5,746,446 and 8,569,845 is: 12,780,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746,446 : 8,569,845 = 8,569,845 : x
  2. Step 2: Convert to fraction form
    5,746,446/8,569,845 = 8,569,845/x
  3. Step 3: Cross multiply
    5,746,446x = 8,569,845 × 8,569,845
  4. Step 4: Simplify right side
    5,746,446x = 73,442,243,324,025
  5. Step 5: Solve for x
    x = 73,442,243,324,025/5,746,446
  6. Step 6: Final answer
    x = 12,780,463.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.