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Finding the Third Proportional to 523,623 and 1,086,102

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Solution

The third proportional to 523,623 and 1,086,102 is: 2,252,799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,623 : 1,086,102 = 1,086,102 : x
  2. Step 2: Convert to fraction form
    523,623/1,086,102 = 1,086,102/x
  3. Step 3: Cross multiply
    523,623x = 1,086,102 × 1,086,102
  4. Step 4: Simplify right side
    523,623x = 1,179,617,554,404
  5. Step 5: Solve for x
    x = 1,179,617,554,404/523,623
  6. Step 6: Final answer
    x = 2,252,799.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.