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Finding the Third Proportional to 1,938,876 and 3,971,784

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Solution

The third proportional to 1,938,876 and 3,971,784 is: 8,136,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938,876 : 3,971,784 = 3,971,784 : x
  2. Step 2: Convert to fraction form
    1,938,876/3,971,784 = 3,971,784/x
  3. Step 3: Cross multiply
    1,938,876x = 3,971,784 × 3,971,784
  4. Step 4: Simplify right side
    1,938,876x = 15,775,068,142,656
  5. Step 5: Solve for x
    x = 15,775,068,142,656/1,938,876
  6. Step 6: Final answer
    x = 8,136,192.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.