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Finding the Third Proportional to 798,200 and 1,707,088

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Solution

The third proportional to 798,200 and 1,707,088 is: 3,650,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,200 : 1,707,088 = 1,707,088 : x
  2. Step 2: Convert to fraction form
    798,200/1,707,088 = 1,707,088/x
  3. Step 3: Cross multiply
    798,200x = 1,707,088 × 1,707,088
  4. Step 4: Simplify right side
    798,200x = 2,914,149,439,744
  5. Step 5: Solve for x
    x = 2,914,149,439,744/798,200
  6. Step 6: Final answer
    x = 3,650,901.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.