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Finding the Third Proportional to 561,446 and 862,994

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Solution

The third proportional to 561,446 and 862,994 is: 1,326,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,446 : 862,994 = 862,994 : x
  2. Step 2: Convert to fraction form
    561,446/862,994 = 862,994/x
  3. Step 3: Cross multiply
    561,446x = 862,994 × 862,994
  4. Step 4: Simplify right side
    561,446x = 744,758,644,036
  5. Step 5: Solve for x
    x = 744,758,644,036/561,446
  6. Step 6: Final answer
    x = 1,326,500.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.