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Finding the Third Proportional to 822,624 and 1,794,720

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Solution

The third proportional to 822,624 and 1,794,720 is: 3,915,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,624 : 1,794,720 = 1,794,720 : x
  2. Step 2: Convert to fraction form
    822,624/1,794,720 = 1,794,720/x
  3. Step 3: Cross multiply
    822,624x = 1,794,720 × 1,794,720
  4. Step 4: Simplify right side
    822,624x = 3,221,019,878,400
  5. Step 5: Solve for x
    x = 3,221,019,878,400/822,624
  6. Step 6: Final answer
    x = 3,915,543.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.