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Finding the Third Proportional to 703,630 and 1,659,361

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Solution

The third proportional to 703,630 and 1,659,361 is: 3,913,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,630 : 1,659,361 = 1,659,361 : x
  2. Step 2: Convert to fraction form
    703,630/1,659,361 = 1,659,361/x
  3. Step 3: Cross multiply
    703,630x = 1,659,361 × 1,659,361
  4. Step 4: Simplify right side
    703,630x = 2,753,478,928,321
  5. Step 5: Solve for x
    x = 2,753,478,928,321/703,630
  6. Step 6: Final answer
    x = 3,913,248.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.