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Finding the Third Proportional to 340,730,374 and 741,160,206

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Solution

The third proportional to 340,730,374 and 741,160,206 is: 1,612,179,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,730,374 : 741,160,206 = 741,160,206 : x
  2. Step 2: Convert to fraction form
    340,730,374/741,160,206 = 741,160,206/x
  3. Step 3: Cross multiply
    340,730,374x = 741,160,206 × 741,160,206
  4. Step 4: Simplify right side
    340,730,374x = 549,318,450,957,962,432
  5. Step 5: Solve for x
    x = 549,318,450,957,962,432/340,730,374
  6. Step 6: Final answer
    x = 1,612,179,285.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.