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Finding the Third Proportional to 715,200 and 1,534,248

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Solution

The third proportional to 715,200 and 1,534,248 is: 3,291,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,200 : 1,534,248 = 1,534,248 : x
  2. Step 2: Convert to fraction form
    715,200/1,534,248 = 1,534,248/x
  3. Step 3: Cross multiply
    715,200x = 1,534,248 × 1,534,248
  4. Step 4: Simplify right side
    715,200x = 2,353,916,925,504
  5. Step 5: Solve for x
    x = 2,353,916,925,504/715,200
  6. Step 6: Final answer
    x = 3,291,270.87

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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.