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Finding the Third Proportional to 512,730 and 1,117,720

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Solution

The third proportional to 512,730 and 1,117,720 is: 2,436,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,730 : 1,117,720 = 1,117,720 : x
  2. Step 2: Convert to fraction form
    512,730/1,117,720 = 1,117,720/x
  3. Step 3: Cross multiply
    512,730x = 1,117,720 × 1,117,720
  4. Step 4: Simplify right side
    512,730x = 1,249,297,998,400
  5. Step 5: Solve for x
    x = 1,249,297,998,400/512,730
  6. Step 6: Final answer
    x = 2,436,561.15

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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.