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Finding the Third Proportional to 460,157 and 984,286

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Solution

The third proportional to 460,157 and 984,286 is: 2,105,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,157 : 984,286 = 984,286 : x
  2. Step 2: Convert to fraction form
    460,157/984,286 = 984,286/x
  3. Step 3: Cross multiply
    460,157x = 984,286 × 984,286
  4. Step 4: Simplify right side
    460,157x = 968,818,929,796
  5. Step 5: Solve for x
    x = 968,818,929,796/460,157
  6. Step 6: Final answer
    x = 2,105,409.52

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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.