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Finding the Third Proportional to 896,959 and 1,903,267

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Solution

The third proportional to 896,959 and 1,903,267 is: 4,038,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,959 : 1,903,267 = 1,903,267 : x
  2. Step 2: Convert to fraction form
    896,959/1,903,267 = 1,903,267/x
  3. Step 3: Cross multiply
    896,959x = 1,903,267 × 1,903,267
  4. Step 4: Simplify right side
    896,959x = 3,622,425,273,289
  5. Step 5: Solve for x
    x = 3,622,425,273,289/896,959
  6. Step 6: Final answer
    x = 4,038,562.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.