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Finding the Third Proportional to 822,538 and 1,904,001

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Solution

The third proportional to 822,538 and 1,904,001 is: 4,407,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,538 : 1,904,001 = 1,904,001 : x
  2. Step 2: Convert to fraction form
    822,538/1,904,001 = 1,904,001/x
  3. Step 3: Cross multiply
    822,538x = 1,904,001 × 1,904,001
  4. Step 4: Simplify right side
    822,538x = 3,625,219,808,001
  5. Step 5: Solve for x
    x = 3,625,219,808,001/822,538
  6. Step 6: Final answer
    x = 4,407,358.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.