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Finding the Third Proportional to 840,177 and 1,275,799

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Solution

The third proportional to 840,177 and 1,275,799 is: 1,937,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,177 : 1,275,799 = 1,275,799 : x
  2. Step 2: Convert to fraction form
    840,177/1,275,799 = 1,275,799/x
  3. Step 3: Cross multiply
    840,177x = 1,275,799 × 1,275,799
  4. Step 4: Simplify right side
    840,177x = 1,627,663,088,401
  5. Step 5: Solve for x
    x = 1,627,663,088,401/840,177
  6. Step 6: Final answer
    x = 1,937,285.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.