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Finding the Third Proportional to 608,452 and 945,863

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Solution

The third proportional to 608,452 and 945,863 is: 1,470,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,452 : 945,863 = 945,863 : x
  2. Step 2: Convert to fraction form
    608,452/945,863 = 945,863/x
  3. Step 3: Cross multiply
    608,452x = 945,863 × 945,863
  4. Step 4: Simplify right side
    608,452x = 894,656,814,769
  5. Step 5: Solve for x
    x = 894,656,814,769/608,452
  6. Step 6: Final answer
    x = 1,470,381.91

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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.