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Finding the Third Proportional to 693,868 and 1,520,597

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Solution

The third proportional to 693,868 and 1,520,597 is: 3,332,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,868 : 1,520,597 = 1,520,597 : x
  2. Step 2: Convert to fraction form
    693,868/1,520,597 = 1,520,597/x
  3. Step 3: Cross multiply
    693,868x = 1,520,597 × 1,520,597
  4. Step 4: Simplify right side
    693,868x = 2,312,215,236,409
  5. Step 5: Solve for x
    x = 2,312,215,236,409/693,868
  6. Step 6: Final answer
    x = 3,332,356.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.