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Finding the Third Proportional to 595,620 and 1,274,346

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Solution

The third proportional to 595,620 and 1,274,346 is: 2,726,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,620 : 1,274,346 = 1,274,346 : x
  2. Step 2: Convert to fraction form
    595,620/1,274,346 = 1,274,346/x
  3. Step 3: Cross multiply
    595,620x = 1,274,346 × 1,274,346
  4. Step 4: Simplify right side
    595,620x = 1,623,957,727,716
  5. Step 5: Solve for x
    x = 1,623,957,727,716/595,620
  6. Step 6: Final answer
    x = 2,726,499.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.