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Finding the Third Proportional to 491,489,548 and 1,055,917,472

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Solution

The third proportional to 491,489,548 and 1,055,917,472 is: 2,268,535,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,489,548 : 1,055,917,472 = 1,055,917,472 : x
  2. Step 2: Convert to fraction form
    491,489,548/1,055,917,472 = 1,055,917,472/x
  3. Step 3: Cross multiply
    491,489,548x = 1,055,917,472 × 1,055,917,472
  4. Step 4: Simplify right side
    491,489,548x = 1,114,961,707,674,870,784
  5. Step 5: Solve for x
    x = 1,114,961,707,674,870,784/491,489,548
  6. Step 6: Final answer
    x = 2,268,535,947.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.