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Finding the Third Proportional to 374,610 and 815,742

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Solution

The third proportional to 374,610 and 815,742 is: 1,776,340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,610 : 815,742 = 815,742 : x
  2. Step 2: Convert to fraction form
    374,610/815,742 = 815,742/x
  3. Step 3: Cross multiply
    374,610x = 815,742 × 815,742
  4. Step 4: Simplify right side
    374,610x = 665,435,010,564
  5. Step 5: Solve for x
    x = 665,435,010,564/374,610
  6. Step 6: Final answer
    x = 1,776,340.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.