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Finding the Third Proportional to 345,161,546 and 741,551,382

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Solution

The third proportional to 345,161,546 and 741,551,382 is: 1,593,162,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,161,546 : 741,551,382 = 741,551,382 : x
  2. Step 2: Convert to fraction form
    345,161,546/741,551,382 = 741,551,382/x
  3. Step 3: Cross multiply
    345,161,546x = 741,551,382 × 741,551,382
  4. Step 4: Simplify right side
    345,161,546x = 549,898,452,146,109,952
  5. Step 5: Solve for x
    x = 549,898,452,146,109,952/345,161,546
  6. Step 6: Final answer
    x = 1,593,162,559.73

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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.