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Finding the Third Proportional to 722,187 and 1,117,675

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Solution

The third proportional to 722,187 and 1,117,675 is: 1,729,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,187 : 1,117,675 = 1,117,675 : x
  2. Step 2: Convert to fraction form
    722,187/1,117,675 = 1,117,675/x
  3. Step 3: Cross multiply
    722,187x = 1,117,675 × 1,117,675
  4. Step 4: Simplify right side
    722,187x = 1,249,197,405,625
  5. Step 5: Solve for x
    x = 1,249,197,405,625/722,187
  6. Step 6: Final answer
    x = 1,729,742.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.