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Finding the Third Proportional to 619,344 and 872,146

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Solution

The third proportional to 619,344 and 872,146 is: 1,228,135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,344 : 872,146 = 872,146 : x
  2. Step 2: Convert to fraction form
    619,344/872,146 = 872,146/x
  3. Step 3: Cross multiply
    619,344x = 872,146 × 872,146
  4. Step 4: Simplify right side
    619,344x = 760,638,645,316
  5. Step 5: Solve for x
    x = 760,638,645,316/619,344
  6. Step 6: Final answer
    x = 1,228,135.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.