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Finding the Third Proportional to 609,650 and 822,387

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Solution

The third proportional to 609,650 and 822,387 is: 1,109,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,650 : 822,387 = 822,387 : x
  2. Step 2: Convert to fraction form
    609,650/822,387 = 822,387/x
  3. Step 3: Cross multiply
    609,650x = 822,387 × 822,387
  4. Step 4: Simplify right side
    609,650x = 676,320,377,769
  5. Step 5: Solve for x
    x = 676,320,377,769/609,650
  6. Step 6: Final answer
    x = 1,109,358.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.