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Finding the Third Proportional to 397,294 and 868,858

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Solution

The third proportional to 397,294 and 868,858 is: 1,900,140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,294 : 868,858 = 868,858 : x
  2. Step 2: Convert to fraction form
    397,294/868,858 = 868,858/x
  3. Step 3: Cross multiply
    397,294x = 868,858 × 868,858
  4. Step 4: Simplify right side
    397,294x = 754,914,224,164
  5. Step 5: Solve for x
    x = 754,914,224,164/397,294
  6. Step 6: Final answer
    x = 1,900,140.01

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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.