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Finding the Third Proportional to 485,762,340 and 746,184,150

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Solution

The third proportional to 485,762,340 and 746,184,150 is: 1,146,220,568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,762,340 : 746,184,150 = 746,184,150 : x
  2. Step 2: Convert to fraction form
    485,762,340/746,184,150 = 746,184,150/x
  3. Step 3: Cross multiply
    485,762,340x = 746,184,150 × 746,184,150
  4. Step 4: Simplify right side
    485,762,340x = 556,790,785,711,222,528
  5. Step 5: Solve for x
    x = 556,790,785,711,222,528/485,762,340
  6. Step 6: Final answer
    x = 1,146,220,568.91

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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.