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Finding the Third Proportional to 373,982 and 822,730

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Solution

The third proportional to 373,982 and 822,730 is: 1,809,939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,982 : 822,730 = 822,730 : x
  2. Step 2: Convert to fraction form
    373,982/822,730 = 822,730/x
  3. Step 3: Cross multiply
    373,982x = 822,730 × 822,730
  4. Step 4: Simplify right side
    373,982x = 676,884,652,900
  5. Step 5: Solve for x
    x = 676,884,652,900/373,982
  6. Step 6: Final answer
    x = 1,809,939.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.