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Finding the Third Proportional to 1,156,794,992 and 1,762,297,680

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Solution

The third proportional to 1,156,794,992 and 1,762,297,680 is: 2,684,739,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156,794,992 : 1,762,297,680 = 1,762,297,680 : x
  2. Step 2: Convert to fraction form
    1,156,794,992/1,762,297,680 = 1,762,297,680/x
  3. Step 3: Cross multiply
    1,156,794,992x = 1,762,297,680 × 1,762,297,680
  4. Step 4: Simplify right side
    1,156,794,992x = 3,105,693,112,933,382,144
  5. Step 5: Solve for x
    x = 3,105,693,112,933,382,144/1,156,794,992
  6. Step 6: Final answer
    x = 2,684,739,417.45

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