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Finding the Third Proportional to 968,940 and 1,386,981

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Solution

The third proportional to 968,940 and 1,386,981 is: 1,985,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,940 : 1,386,981 = 1,386,981 : x
  2. Step 2: Convert to fraction form
    968,940/1,386,981 = 1,386,981/x
  3. Step 3: Cross multiply
    968,940x = 1,386,981 × 1,386,981
  4. Step 4: Simplify right side
    968,940x = 1,923,716,294,361
  5. Step 5: Solve for x
    x = 1,923,716,294,361/968,940
  6. Step 6: Final answer
    x = 1,985,382.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.