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Finding the Third Proportional to 632,051 and 1,382,347

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Solution

The third proportional to 632,051 and 1,382,347 is: 3,023,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,051 : 1,382,347 = 1,382,347 : x
  2. Step 2: Convert to fraction form
    632,051/1,382,347 = 1,382,347/x
  3. Step 3: Cross multiply
    632,051x = 1,382,347 × 1,382,347
  4. Step 4: Simplify right side
    632,051x = 1,910,883,228,409
  5. Step 5: Solve for x
    x = 1,910,883,228,409/632,051
  6. Step 6: Final answer
    x = 3,023,305.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.