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Finding the Third Proportional to 568,152 and 1,224,432

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Solution

The third proportional to 568,152 and 1,224,432 is: 2,638,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,152 : 1,224,432 = 1,224,432 : x
  2. Step 2: Convert to fraction form
    568,152/1,224,432 = 1,224,432/x
  3. Step 3: Cross multiply
    568,152x = 1,224,432 × 1,224,432
  4. Step 4: Simplify right side
    568,152x = 1,499,233,722,624
  5. Step 5: Solve for x
    x = 1,499,233,722,624/568,152
  6. Step 6: Final answer
    x = 2,638,789.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.