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Finding the Third Proportional to 733,702 and 1,107,952

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Solution

The third proportional to 733,702 and 1,107,952 is: 1,673,101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,702 : 1,107,952 = 1,107,952 : x
  2. Step 2: Convert to fraction form
    733,702/1,107,952 = 1,107,952/x
  3. Step 3: Cross multiply
    733,702x = 1,107,952 × 1,107,952
  4. Step 4: Simplify right side
    733,702x = 1,227,557,634,304
  5. Step 5: Solve for x
    x = 1,227,557,634,304/733,702
  6. Step 6: Final answer
    x = 1,673,101.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.