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Finding the Third Proportional to 592,499 and 1,274,914

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Solution

The third proportional to 592,499 and 1,274,914 is: 2,743,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,499 : 1,274,914 = 1,274,914 : x
  2. Step 2: Convert to fraction form
    592,499/1,274,914 = 1,274,914/x
  3. Step 3: Cross multiply
    592,499x = 1,274,914 × 1,274,914
  4. Step 4: Simplify right side
    592,499x = 1,625,405,707,396
  5. Step 5: Solve for x
    x = 1,625,405,707,396/592,499
  6. Step 6: Final answer
    x = 2,743,305.40

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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.