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Finding the Third Proportional to 1,442,031 and 3,338,208

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Solution

The third proportional to 1,442,031 and 3,338,208 is: 7,727,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,031 : 3,338,208 = 3,338,208 : x
  2. Step 2: Convert to fraction form
    1,442,031/3,338,208 = 3,338,208/x
  3. Step 3: Cross multiply
    1,442,031x = 3,338,208 × 3,338,208
  4. Step 4: Simplify right side
    1,442,031x = 11,143,632,651,264
  5. Step 5: Solve for x
    x = 11,143,632,651,264/1,442,031
  6. Step 6: Final answer
    x = 7,727,734.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.