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Finding the Third Proportional to 658,000,376.44 and 1,022,142,103.31

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Solution

The third proportional to 658,000,376.44 and 1,022,142,103.31 is: 1,587,802,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,000,376.44 : 1,022,142,103.31 = 1,022,142,103.31 : x
  2. Step 2: Convert to fraction form
    658,000,376.44/1,022,142,103.31 = 1,022,142,103.31/x
  3. Step 3: Cross multiply
    658,000,376.44x = 1,022,142,103.31 × 1,022,142,103.31
  4. Step 4: Simplify right side
    658,000,376.44x = 1,044,774,479,364,101,376
  5. Step 5: Solve for x
    x = 1,044,774,479,364,101,376/658,000,376.44
  6. Step 6: Final answer
    x = 1,587,802,251.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.