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Finding the Third Proportional to 673,892 and 1,465,882

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Solution

The third proportional to 673,892 and 1,465,882 is: 3,188,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,892 : 1,465,882 = 1,465,882 : x
  2. Step 2: Convert to fraction form
    673,892/1,465,882 = 1,465,882/x
  3. Step 3: Cross multiply
    673,892x = 1,465,882 × 1,465,882
  4. Step 4: Simplify right side
    673,892x = 2,148,810,037,924
  5. Step 5: Solve for x
    x = 2,148,810,037,924/673,892
  6. Step 6: Final answer
    x = 3,188,656.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.