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Finding the Third Proportional to 834,774 and 1,252,332

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Solution

The third proportional to 834,774 and 1,252,332 is: 1,878,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,774 : 1,252,332 = 1,252,332 : x
  2. Step 2: Convert to fraction form
    834,774/1,252,332 = 1,252,332/x
  3. Step 3: Cross multiply
    834,774x = 1,252,332 × 1,252,332
  4. Step 4: Simplify right side
    834,774x = 1,568,335,438,224
  5. Step 5: Solve for x
    x = 1,568,335,438,224/834,774
  6. Step 6: Final answer
    x = 1,878,754.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.