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Finding the Third Proportional to 682,577 and 918,887

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Solution

The third proportional to 682,577 and 918,887 is: 1,237,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,577 : 918,887 = 918,887 : x
  2. Step 2: Convert to fraction form
    682,577/918,887 = 918,887/x
  3. Step 3: Cross multiply
    682,577x = 918,887 × 918,887
  4. Step 4: Simplify right side
    682,577x = 844,353,318,769
  5. Step 5: Solve for x
    x = 844,353,318,769/682,577
  6. Step 6: Final answer
    x = 1,237,008.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.