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Finding the Third Proportional to 915,882.75 and 1,401,022.13

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Solution

The third proportional to 915,882.75 and 1,401,022.13 is: 2,143,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,882.75 : 1,401,022.13 = 1,401,022.13 : x
  2. Step 2: Convert to fraction form
    915,882.75/1,401,022.13 = 1,401,022.13/x
  3. Step 3: Cross multiply
    915,882.75x = 1,401,022.13 × 1,401,022.13
  4. Step 4: Simplify right side
    915,882.75x = 1,962,862,994,739.52
  5. Step 5: Solve for x
    x = 1,962,862,994,739.52/915,882.75
  6. Step 6: Final answer
    x = 2,143,137.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.