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Finding the Third Proportional to 1,329,729 and 2,939,394

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Solution

The third proportional to 1,329,729 and 2,939,394 is: 6,497,592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329,729 : 2,939,394 = 2,939,394 : x
  2. Step 2: Convert to fraction form
    1,329,729/2,939,394 = 2,939,394/x
  3. Step 3: Cross multiply
    1,329,729x = 2,939,394 × 2,939,394
  4. Step 4: Simplify right side
    1,329,729x = 8,640,037,087,236
  5. Step 5: Solve for x
    x = 8,640,037,087,236/1,329,729
  6. Step 6: Final answer
    x = 6,497,592.43

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.