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Finding the Third Proportional to 897,872.25 and 1,970,358

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Solution

The third proportional to 897,872.25 and 1,970,358 is: 4,323,900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,872.25 : 1,970,358 = 1,970,358 : x
  2. Step 2: Convert to fraction form
    897,872.25/1,970,358 = 1,970,358/x
  3. Step 3: Cross multiply
    897,872.25x = 1,970,358 × 1,970,358
  4. Step 4: Simplify right side
    897,872.25x = 3,882,310,648,164
  5. Step 5: Solve for x
    x = 3,882,310,648,164/897,872.25
  6. Step 6: Final answer
    x = 4,323,900.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.