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Finding the Third Proportional to 1,156,794,966 and 1,762,297,641

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Solution

The third proportional to 1,156,794,966 and 1,762,297,641 is: 2,684,739,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156,794,966 : 1,762,297,641 = 1,762,297,641 : x
  2. Step 2: Convert to fraction form
    1,156,794,966/1,762,297,641 = 1,762,297,641/x
  3. Step 3: Cross multiply
    1,156,794,966x = 1,762,297,641 × 1,762,297,641
  4. Step 4: Simplify right side
    1,156,794,966x = 3,105,692,975,474,164,736
  5. Step 5: Solve for x
    x = 3,105,692,975,474,164,736/1,156,794,966
  6. Step 6: Final answer
    x = 2,684,739,358.97

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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.