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Finding the Third Proportional to 897,921 and 1,952,946

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Solution

The third proportional to 897,921 and 1,952,946 is: 4,247,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,921 : 1,952,946 = 1,952,946 : x
  2. Step 2: Convert to fraction form
    897,921/1,952,946 = 1,952,946/x
  3. Step 3: Cross multiply
    897,921x = 1,952,946 × 1,952,946
  4. Step 4: Simplify right side
    897,921x = 3,813,998,078,916
  5. Step 5: Solve for x
    x = 3,813,998,078,916/897,921
  6. Step 6: Final answer
    x = 4,247,587.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.