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Finding the Third Proportional to 373,842 and 822,416

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Solution

The third proportional to 373,842 and 822,416 is: 1,809,235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,842 : 822,416 = 822,416 : x
  2. Step 2: Convert to fraction form
    373,842/822,416 = 822,416/x
  3. Step 3: Cross multiply
    373,842x = 822,416 × 822,416
  4. Step 4: Simplify right side
    373,842x = 676,368,077,056
  5. Step 5: Solve for x
    x = 676,368,077,056/373,842
  6. Step 6: Final answer
    x = 1,809,235.12

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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.