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Finding the Third Proportional to 565,266.84 and 1,212,591.42

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Solution

The third proportional to 565,266.84 and 1,212,591.42 is: 2,601,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,266.84 : 1,212,591.42 = 1,212,591.42 : x
  2. Step 2: Convert to fraction form
    565,266.84/1,212,591.42 = 1,212,591.42/x
  3. Step 3: Cross multiply
    565,266.84x = 1,212,591.42 × 1,212,591.42
  4. Step 4: Simplify right side
    565,266.84x = 1,470,377,956,404.83
  5. Step 5: Solve for x
    x = 1,470,377,956,404.83/565,266.84
  6. Step 6: Final answer
    x = 2,601,210.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.