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Finding the Third Proportional to 781,698 and 1,703,360

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Solution

The third proportional to 781,698 and 1,703,360 is: 3,711,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,698 : 1,703,360 = 1,703,360 : x
  2. Step 2: Convert to fraction form
    781,698/1,703,360 = 1,703,360/x
  3. Step 3: Cross multiply
    781,698x = 1,703,360 × 1,703,360
  4. Step 4: Simplify right side
    781,698x = 2,901,435,289,600
  5. Step 5: Solve for x
    x = 2,901,435,289,600/781,698
  6. Step 6: Final answer
    x = 3,711,708.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.