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Finding the Third Proportional to 1,087,825.50 and 2,356,446

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Solution

The third proportional to 1,087,825.50 and 2,356,446 is: 5,104,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087,825.50 : 2,356,446 = 2,356,446 : x
  2. Step 2: Convert to fraction form
    1,087,825.50/2,356,446 = 2,356,446/x
  3. Step 3: Cross multiply
    1,087,825.50x = 2,356,446 × 2,356,446
  4. Step 4: Simplify right side
    1,087,825.50x = 5,552,837,750,916
  5. Step 5: Solve for x
    x = 5,552,837,750,916/1,087,825.50
  6. Step 6: Final answer
    x = 5,104,529.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.