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Finding the Third Proportional to 799,924 and 1,125,036

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Solution

The third proportional to 799,924 and 1,125,036 is: 1,582,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,924 : 1,125,036 = 1,125,036 : x
  2. Step 2: Convert to fraction form
    799,924/1,125,036 = 1,125,036/x
  3. Step 3: Cross multiply
    799,924x = 1,125,036 × 1,125,036
  4. Step 4: Simplify right side
    799,924x = 1,265,706,001,296
  5. Step 5: Solve for x
    x = 1,265,706,001,296/799,924
  6. Step 6: Final answer
    x = 1,582,282.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.