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Finding the Third Proportional to 654,381 and 1,384,209

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Solution

The third proportional to 654,381 and 1,384,209 is: 2,928,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,381 : 1,384,209 = 1,384,209 : x
  2. Step 2: Convert to fraction form
    654,381/1,384,209 = 1,384,209/x
  3. Step 3: Cross multiply
    654,381x = 1,384,209 × 1,384,209
  4. Step 4: Simplify right side
    654,381x = 1,916,034,555,681
  5. Step 5: Solve for x
    x = 1,916,034,555,681/654,381
  6. Step 6: Final answer
    x = 2,928,010.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.