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Finding the Third Proportional to 798,980 and 1,715,464

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Solution

The third proportional to 798,980 and 1,715,464 is: 3,683,217.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,980 : 1,715,464 = 1,715,464 : x
  2. Step 2: Convert to fraction form
    798,980/1,715,464 = 1,715,464/x
  3. Step 3: Cross multiply
    798,980x = 1,715,464 × 1,715,464
  4. Step 4: Simplify right side
    798,980x = 2,942,816,735,296
  5. Step 5: Solve for x
    x = 2,942,816,735,296/798,980
  6. Step 6: Final answer
    x = 3,683,217.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.