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Finding the Third Proportional to 842,001 and 1,799,913

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Solution

The third proportional to 842,001 and 1,799,913 is: 3,847,604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,001 : 1,799,913 = 1,799,913 : x
  2. Step 2: Convert to fraction form
    842,001/1,799,913 = 1,799,913/x
  3. Step 3: Cross multiply
    842,001x = 1,799,913 × 1,799,913
  4. Step 4: Simplify right side
    842,001x = 3,239,686,807,569
  5. Step 5: Solve for x
    x = 3,239,686,807,569/842,001
  6. Step 6: Final answer
    x = 3,847,604.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.