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Finding the Third Proportional to 1,135,834,497 and 1,744,780,860

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Solution

The third proportional to 1,135,834,497 and 1,744,780,860 is: 2,680,197,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135,834,497 : 1,744,780,860 = 1,744,780,860 : x
  2. Step 2: Convert to fraction form
    1,135,834,497/1,744,780,860 = 1,744,780,860/x
  3. Step 3: Cross multiply
    1,135,834,497x = 1,744,780,860 × 1,744,780,860
  4. Step 4: Simplify right side
    1,135,834,497x = 3,044,260,249,422,339,584
  5. Step 5: Solve for x
    x = 3,044,260,249,422,339,584/1,135,834,497
  6. Step 6: Final answer
    x = 2,680,197,033.51

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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.