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Finding the Third Proportional to 714,636 and 1,512,216

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Solution

The third proportional to 714,636 and 1,512,216 is: 3,199,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,636 : 1,512,216 = 1,512,216 : x
  2. Step 2: Convert to fraction form
    714,636/1,512,216 = 1,512,216/x
  3. Step 3: Cross multiply
    714,636x = 1,512,216 × 1,512,216
  4. Step 4: Simplify right side
    714,636x = 2,286,797,230,656
  5. Step 5: Solve for x
    x = 2,286,797,230,656/714,636
  6. Step 6: Final answer
    x = 3,199,946.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.