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Finding the Third Proportional to 947,981 and 1,341,364

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Solution

The third proportional to 947,981 and 1,341,364 is: 1,897,988.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,981 : 1,341,364 = 1,341,364 : x
  2. Step 2: Convert to fraction form
    947,981/1,341,364 = 1,341,364/x
  3. Step 3: Cross multiply
    947,981x = 1,341,364 × 1,341,364
  4. Step 4: Simplify right side
    947,981x = 1,799,257,380,496
  5. Step 5: Solve for x
    x = 1,799,257,380,496/947,981
  6. Step 6: Final answer
    x = 1,897,988.86

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.