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Finding the Third Proportional to 565,524 and 1,229,220

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Solution

The third proportional to 565,524 and 1,229,220 is: 2,671,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,524 : 1,229,220 = 1,229,220 : x
  2. Step 2: Convert to fraction form
    565,524/1,229,220 = 1,229,220/x
  3. Step 3: Cross multiply
    565,524x = 1,229,220 × 1,229,220
  4. Step 4: Simplify right side
    565,524x = 1,510,981,808,400
  5. Step 5: Solve for x
    x = 1,510,981,808,400/565,524
  6. Step 6: Final answer
    x = 2,671,826.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.