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Finding the Third Proportional to 713,286 and 1,486,350

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Solution

The third proportional to 713,286 and 1,486,350 is: 3,097,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,286 : 1,486,350 = 1,486,350 : x
  2. Step 2: Convert to fraction form
    713,286/1,486,350 = 1,486,350/x
  3. Step 3: Cross multiply
    713,286x = 1,486,350 × 1,486,350
  4. Step 4: Simplify right side
    713,286x = 2,209,236,322,500
  5. Step 5: Solve for x
    x = 2,209,236,322,500/713,286
  6. Step 6: Final answer
    x = 3,097,265.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.