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Finding the Third Proportional to 694,332 and 1,443,948

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Solution

The third proportional to 694,332 and 1,443,948 is: 3,002,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,332 : 1,443,948 = 1,443,948 : x
  2. Step 2: Convert to fraction form
    694,332/1,443,948 = 1,443,948/x
  3. Step 3: Cross multiply
    694,332x = 1,443,948 × 1,443,948
  4. Step 4: Simplify right side
    694,332x = 2,084,985,826,704
  5. Step 5: Solve for x
    x = 2,084,985,826,704/694,332
  6. Step 6: Final answer
    x = 3,002,865.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.