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Finding the Third Proportional to 570,524 and 1,236,181

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Solution

The third proportional to 570,524 and 1,236,181 is: 2,678,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,524 : 1,236,181 = 1,236,181 : x
  2. Step 2: Convert to fraction form
    570,524/1,236,181 = 1,236,181/x
  3. Step 3: Cross multiply
    570,524x = 1,236,181 × 1,236,181
  4. Step 4: Simplify right side
    570,524x = 1,528,143,464,761
  5. Step 5: Solve for x
    x = 1,528,143,464,761/570,524
  6. Step 6: Final answer
    x = 2,678,491.11

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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.