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Finding the Third Proportional to 521,826,408 and 1,118,350,689

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Solution

The third proportional to 521,826,408 and 1,118,350,689 is: 2,396,789,898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,826,408 : 1,118,350,689 = 1,118,350,689 : x
  2. Step 2: Convert to fraction form
    521,826,408/1,118,350,689 = 1,118,350,689/x
  3. Step 3: Cross multiply
    521,826,408x = 1,118,350,689 × 1,118,350,689
  4. Step 4: Simplify right side
    521,826,408x = 1,250,708,263,586,774,784
  5. Step 5: Solve for x
    x = 1,250,708,263,586,774,784/521,826,408
  6. Step 6: Final answer
    x = 2,396,789,898.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.