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Finding the Third Proportional to 523,810.13 and 1,150,497

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Solution

The third proportional to 523,810.13 and 1,150,497 is: 2,526,952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,810.13 : 1,150,497 = 1,150,497 : x
  2. Step 2: Convert to fraction form
    523,810.13/1,150,497 = 1,150,497/x
  3. Step 3: Cross multiply
    523,810.13x = 1,150,497 × 1,150,497
  4. Step 4: Simplify right side
    523,810.13x = 1,323,643,347,009
  5. Step 5: Solve for x
    x = 1,323,643,347,009/523,810.13
  6. Step 6: Final answer
    x = 2,526,952.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.