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Finding the Third Proportional to 652,596 and 919,017

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Solution

The third proportional to 652,596 and 919,017 is: 1,294,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,596 : 919,017 = 919,017 : x
  2. Step 2: Convert to fraction form
    652,596/919,017 = 919,017/x
  3. Step 3: Cross multiply
    652,596x = 919,017 × 919,017
  4. Step 4: Simplify right side
    652,596x = 844,592,246,289
  5. Step 5: Solve for x
    x = 844,592,246,289/652,596
  6. Step 6: Final answer
    x = 1,294,203.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.