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Finding the Third Proportional to 880,731 and 1,914,498

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Solution

The third proportional to 880,731 and 1,914,498 is: 4,161,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,731 : 1,914,498 = 1,914,498 : x
  2. Step 2: Convert to fraction form
    880,731/1,914,498 = 1,914,498/x
  3. Step 3: Cross multiply
    880,731x = 1,914,498 × 1,914,498
  4. Step 4: Simplify right side
    880,731x = 3,665,302,592,004
  5. Step 5: Solve for x
    x = 3,665,302,592,004/880,731
  6. Step 6: Final answer
    x = 4,161,659.57

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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.