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Finding the Third Proportional to 1,156,794,729 and 1,762,297,287

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Solution

The third proportional to 1,156,794,729 and 1,762,297,287 is: 2,684,738,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156,794,729 : 1,762,297,287 = 1,762,297,287 : x
  2. Step 2: Convert to fraction form
    1,156,794,729/1,762,297,287 = 1,762,297,287/x
  3. Step 3: Cross multiply
    1,156,794,729x = 1,762,297,287 × 1,762,297,287
  4. Step 4: Simplify right side
    1,156,794,729x = 3,105,691,727,767,560,192
  5. Step 5: Solve for x
    x = 3,105,691,727,767,560,192/1,156,794,729
  6. Step 6: Final answer
    x = 2,684,738,830.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.