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Finding the Third Proportional to 565,534 and 1,212,020

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Solution

The third proportional to 565,534 and 1,212,020 is: 2,597,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,534 : 1,212,020 = 1,212,020 : x
  2. Step 2: Convert to fraction form
    565,534/1,212,020 = 1,212,020/x
  3. Step 3: Cross multiply
    565,534x = 1,212,020 × 1,212,020
  4. Step 4: Simplify right side
    565,534x = 1,468,992,480,400
  5. Step 5: Solve for x
    x = 1,468,992,480,400/565,534
  6. Step 6: Final answer
    x = 2,597,531.68

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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.