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Finding the Third Proportional to 712,896,630 and 1,134,358,713

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Solution

The third proportional to 712,896,630 and 1,134,358,713 is: 1,804,987,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,896,630 : 1,134,358,713 = 1,134,358,713 : x
  2. Step 2: Convert to fraction form
    712,896,630/1,134,358,713 = 1,134,358,713/x
  3. Step 3: Cross multiply
    712,896,630x = 1,134,358,713 × 1,134,358,713
  4. Step 4: Simplify right side
    712,896,630x = 1,286,769,689,759,016,448
  5. Step 5: Solve for x
    x = 1,286,769,689,759,016,448/712,896,630
  6. Step 6: Final answer
    x = 1,804,987,757.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.