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Finding the Third Proportional to 934,497 and 1,420,218

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Solution

The third proportional to 934,497 and 1,420,218 is: 2,158,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,497 : 1,420,218 = 1,420,218 : x
  2. Step 2: Convert to fraction form
    934,497/1,420,218 = 1,420,218/x
  3. Step 3: Cross multiply
    934,497x = 1,420,218 × 1,420,218
  4. Step 4: Simplify right side
    934,497x = 2,017,019,167,524
  5. Step 5: Solve for x
    x = 2,017,019,167,524/934,497
  6. Step 6: Final answer
    x = 2,158,400.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.