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Finding the Third Proportional to 813,920 and 1,197,348

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Solution

The third proportional to 813,920 and 1,197,348 is: 1,761,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,920 : 1,197,348 = 1,197,348 : x
  2. Step 2: Convert to fraction form
    813,920/1,197,348 = 1,197,348/x
  3. Step 3: Cross multiply
    813,920x = 1,197,348 × 1,197,348
  4. Step 4: Simplify right side
    813,920x = 1,433,642,233,104
  5. Step 5: Solve for x
    x = 1,433,642,233,104/813,920
  6. Step 6: Final answer
    x = 1,761,404.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.