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Finding the Third Proportional to 887,817 and 1,442,412

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Solution

The third proportional to 887,817 and 1,442,412 is: 2,343,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    887,817 : 1,442,412 = 1,442,412 : x
  2. Step 2: Convert to fraction form
    887,817/1,442,412 = 1,442,412/x
  3. Step 3: Cross multiply
    887,817x = 1,442,412 × 1,442,412
  4. Step 4: Simplify right side
    887,817x = 2,080,552,377,744
  5. Step 5: Solve for x
    x = 2,080,552,377,744/887,817
  6. Step 6: Final answer
    x = 2,343,447.33

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.