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Finding the Third Proportional to 896,188 and 1,897,328

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Solution

The third proportional to 896,188 and 1,897,328 is: 4,016,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,188 : 1,897,328 = 1,897,328 : x
  2. Step 2: Convert to fraction form
    896,188/1,897,328 = 1,897,328/x
  3. Step 3: Cross multiply
    896,188x = 1,897,328 × 1,897,328
  4. Step 4: Simplify right side
    896,188x = 3,599,853,539,584
  5. Step 5: Solve for x
    x = 3,599,853,539,584/896,188
  6. Step 6: Final answer
    x = 4,016,850.86

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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.