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Finding the Third Proportional to 3,719,745 and 5,689,629

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Solution

The third proportional to 3,719,745 and 5,689,629 is: 8,702,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719,745 : 5,689,629 = 5,689,629 : x
  2. Step 2: Convert to fraction form
    3,719,745/5,689,629 = 5,689,629/x
  3. Step 3: Cross multiply
    3,719,745x = 5,689,629 × 5,689,629
  4. Step 4: Simplify right side
    3,719,745x = 32,371,878,157,641
  5. Step 5: Solve for x
    x = 32,371,878,157,641/3,719,745
  6. Step 6: Final answer
    x = 8,702,714.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.