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Finding the Third Proportional to 1,429,137 and 2,031,399

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Solution

The third proportional to 1,429,137 and 2,031,399 is: 2,887,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,137 : 2,031,399 = 2,031,399 : x
  2. Step 2: Convert to fraction form
    1,429,137/2,031,399 = 2,031,399/x
  3. Step 3: Cross multiply
    1,429,137x = 2,031,399 × 2,031,399
  4. Step 4: Simplify right side
    1,429,137x = 4,126,581,897,201
  5. Step 5: Solve for x
    x = 4,126,581,897,201/1,429,137
  6. Step 6: Final answer
    x = 2,887,464.18

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.