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Finding the Third Proportional to 609,435 and 1,312,524

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Solution

The third proportional to 609,435 and 1,312,524 is: 2,826,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,435 : 1,312,524 = 1,312,524 : x
  2. Step 2: Convert to fraction form
    609,435/1,312,524 = 1,312,524/x
  3. Step 3: Cross multiply
    609,435x = 1,312,524 × 1,312,524
  4. Step 4: Simplify right side
    609,435x = 1,722,719,250,576
  5. Step 5: Solve for x
    x = 1,722,719,250,576/609,435
  6. Step 6: Final answer
    x = 2,826,748.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.