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Finding the Third Proportional to 600,399 and 1,435,114.13

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Solution

The third proportional to 600,399 and 1,435,114.13 is: 3,430,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,399 : 1,435,114.13 = 1,435,114.13 : x
  2. Step 2: Convert to fraction form
    600,399/1,435,114.13 = 1,435,114.13/x
  3. Step 3: Cross multiply
    600,399x = 1,435,114.13 × 1,435,114.13
  4. Step 4: Simplify right side
    600,399x = 2,059,552,551,774.52
  5. Step 5: Solve for x
    x = 2,059,552,551,774.52/600,399
  6. Step 6: Final answer
    x = 3,430,306.43

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.