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Finding the Third Proportional to 947,920 and 2,105,792

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Solution

The third proportional to 947,920 and 2,105,792 is: 4,677,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,920 : 2,105,792 = 2,105,792 : x
  2. Step 2: Convert to fraction form
    947,920/2,105,792 = 2,105,792/x
  3. Step 3: Cross multiply
    947,920x = 2,105,792 × 2,105,792
  4. Step 4: Simplify right side
    947,920x = 4,434,359,947,264
  5. Step 5: Solve for x
    x = 4,434,359,947,264/947,920
  6. Step 6: Final answer
    x = 4,677,989.65

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.