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Finding the Third Proportional to 703,610 and 1,659,309

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Solution

The third proportional to 703,610 and 1,659,309 is: 3,913,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,610 : 1,659,309 = 1,659,309 : x
  2. Step 2: Convert to fraction form
    703,610/1,659,309 = 1,659,309/x
  3. Step 3: Cross multiply
    703,610x = 1,659,309 × 1,659,309
  4. Step 4: Simplify right side
    703,610x = 2,753,306,357,481
  5. Step 5: Solve for x
    x = 2,753,306,357,481/703,610
  6. Step 6: Final answer
    x = 3,913,114.31

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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.