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Finding the Third Proportional to 670,269 and 992,382

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Solution

The third proportional to 670,269 and 992,382 is: 1,469,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,269 : 992,382 = 992,382 : x
  2. Step 2: Convert to fraction form
    670,269/992,382 = 992,382/x
  3. Step 3: Cross multiply
    670,269x = 992,382 × 992,382
  4. Step 4: Simplify right side
    670,269x = 984,822,033,924
  5. Step 5: Solve for x
    x = 984,822,033,924/670,269
  6. Step 6: Final answer
    x = 1,469,293.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.