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Finding the Third Proportional to 448,782 and 960,617

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Solution

The third proportional to 448,782 and 960,617 is: 2,056,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,782 : 960,617 = 960,617 : x
  2. Step 2: Convert to fraction form
    448,782/960,617 = 960,617/x
  3. Step 3: Cross multiply
    448,782x = 960,617 × 960,617
  4. Step 4: Simplify right side
    448,782x = 922,785,020,689
  5. Step 5: Solve for x
    x = 922,785,020,689/448,782
  6. Step 6: Final answer
    x = 2,056,198.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.