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Finding the Third Proportional to 485,761,896 and 746,183,502

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Solution

The third proportional to 485,761,896 and 746,183,502 is: 1,146,219,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,761,896 : 746,183,502 = 746,183,502 : x
  2. Step 2: Convert to fraction form
    485,761,896/746,183,502 = 746,183,502/x
  3. Step 3: Cross multiply
    485,761,896x = 746,183,502 × 746,183,502
  4. Step 4: Simplify right side
    485,761,896x = 556,789,818,656,984,000
  5. Step 5: Solve for x
    x = 556,789,818,656,984,000/485,761,896
  6. Step 6: Final answer
    x = 1,146,219,625.79

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.