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Finding the Third Proportional to 707,908,591 and 984,290,311

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Solution

The third proportional to 707,908,591 and 984,290,311 is: 1,368,577,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,908,591 : 984,290,311 = 984,290,311 : x
  2. Step 2: Convert to fraction form
    707,908,591/984,290,311 = 984,290,311/x
  3. Step 3: Cross multiply
    707,908,591x = 984,290,311 × 984,290,311
  4. Step 4: Simplify right side
    707,908,591x = 968,827,416,328,476,672
  5. Step 5: Solve for x
    x = 968,827,416,328,476,672/707,908,591
  6. Step 6: Final answer
    x = 1,368,577,000.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.