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Finding the Third Proportional to 642,895 and 875,652

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Solution

The third proportional to 642,895 and 875,652 is: 1,192,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,895 : 875,652 = 875,652 : x
  2. Step 2: Convert to fraction form
    642,895/875,652 = 875,652/x
  3. Step 3: Cross multiply
    642,895x = 875,652 × 875,652
  4. Step 4: Simplify right side
    642,895x = 766,766,425,104
  5. Step 5: Solve for x
    x = 766,766,425,104/642,895
  6. Step 6: Final answer
    x = 1,192,677.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.