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Finding the Third Proportional to 713,268 and 1,486,314

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Solution

The third proportional to 713,268 and 1,486,314 is: 3,097,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,268 : 1,486,314 = 1,486,314 : x
  2. Step 2: Convert to fraction form
    713,268/1,486,314 = 1,486,314/x
  3. Step 3: Cross multiply
    713,268x = 1,486,314 × 1,486,314
  4. Step 4: Simplify right side
    713,268x = 2,209,129,306,596
  5. Step 5: Solve for x
    x = 2,209,129,306,596/713,268
  6. Step 6: Final answer
    x = 3,097,193.91

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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.