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Finding the Third Proportional to 1,156,794,731 and 1,762,297,290

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Solution

The third proportional to 1,156,794,731 and 1,762,297,290 is: 2,684,738,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156,794,731 : 1,762,297,290 = 1,762,297,290 : x
  2. Step 2: Convert to fraction form
    1,156,794,731/1,762,297,290 = 1,762,297,290/x
  3. Step 3: Cross multiply
    1,156,794,731x = 1,762,297,290 × 1,762,297,290
  4. Step 4: Simplify right side
    1,156,794,731x = 3,105,691,738,341,344,256
  5. Step 5: Solve for x
    x = 3,105,691,738,341,344,256/1,156,794,731
  6. Step 6: Final answer
    x = 2,684,738,834.92

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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.