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Finding the Third Proportional to 460,384 and 984,716

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Solution

The third proportional to 460,384 and 984,716 is: 2,106,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,384 : 984,716 = 984,716 : x
  2. Step 2: Convert to fraction form
    460,384/984,716 = 984,716/x
  3. Step 3: Cross multiply
    460,384x = 984,716 × 984,716
  4. Step 4: Simplify right side
    460,384x = 969,665,600,656
  5. Step 5: Solve for x
    x = 969,665,600,656/460,384
  6. Step 6: Final answer
    x = 2,106,210.47

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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.