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Finding the Third Proportional to 720,538 and 1,552,416

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Solution

The third proportional to 720,538 and 1,552,416 is: 3,344,716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,538 : 1,552,416 = 1,552,416 : x
  2. Step 2: Convert to fraction form
    720,538/1,552,416 = 1,552,416/x
  3. Step 3: Cross multiply
    720,538x = 1,552,416 × 1,552,416
  4. Step 4: Simplify right side
    720,538x = 2,409,995,437,056
  5. Step 5: Solve for x
    x = 2,409,995,437,056/720,538
  6. Step 6: Final answer
    x = 3,344,716.64

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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.