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Finding the Third Proportional to 713,409 and 1,485,867

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Solution

The third proportional to 713,409 and 1,485,867 is: 3,094,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,409 : 1,485,867 = 1,485,867 : x
  2. Step 2: Convert to fraction form
    713,409/1,485,867 = 1,485,867/x
  3. Step 3: Cross multiply
    713,409x = 1,485,867 × 1,485,867
  4. Step 4: Simplify right side
    713,409x = 2,207,800,741,689
  5. Step 5: Solve for x
    x = 2,207,800,741,689/713,409
  6. Step 6: Final answer
    x = 3,094,719.50

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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.