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Finding the Third Proportional to 663,016 and 1,447,480

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Solution

The third proportional to 663,016 and 1,447,480 is: 3,160,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,016 : 1,447,480 = 1,447,480 : x
  2. Step 2: Convert to fraction form
    663,016/1,447,480 = 1,447,480/x
  3. Step 3: Cross multiply
    663,016x = 1,447,480 × 1,447,480
  4. Step 4: Simplify right side
    663,016x = 2,095,198,350,400
  5. Step 5: Solve for x
    x = 2,095,198,350,400/663,016
  6. Step 6: Final answer
    x = 3,160,102.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.