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Finding the Third Proportional to 702,771 and 1,540,974

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Solution

The third proportional to 702,771 and 1,540,974 is: 3,378,911.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,771 : 1,540,974 = 1,540,974 : x
  2. Step 2: Convert to fraction form
    702,771/1,540,974 = 1,540,974/x
  3. Step 3: Cross multiply
    702,771x = 1,540,974 × 1,540,974
  4. Step 4: Simplify right side
    702,771x = 2,374,600,868,676
  5. Step 5: Solve for x
    x = 2,374,600,868,676/702,771
  6. Step 6: Final answer
    x = 3,378,911.29

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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.