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Finding the Third Proportional to 580,481 and 896,601

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Solution

The third proportional to 580,481 and 896,601 is: 1,384,874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,481 : 896,601 = 896,601 : x
  2. Step 2: Convert to fraction form
    580,481/896,601 = 896,601/x
  3. Step 3: Cross multiply
    580,481x = 896,601 × 896,601
  4. Step 4: Simplify right side
    580,481x = 803,893,353,201
  5. Step 5: Solve for x
    x = 803,893,353,201/580,481
  6. Step 6: Final answer
    x = 1,384,874.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.