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Finding the Third Proportional to 645,810 and 1,407,876

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Solution

The third proportional to 645,810 and 1,407,876 is: 3,069,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,810 : 1,407,876 = 1,407,876 : x
  2. Step 2: Convert to fraction form
    645,810/1,407,876 = 1,407,876/x
  3. Step 3: Cross multiply
    645,810x = 1,407,876 × 1,407,876
  4. Step 4: Simplify right side
    645,810x = 1,982,114,831,376
  5. Step 5: Solve for x
    x = 1,982,114,831,376/645,810
  6. Step 6: Final answer
    x = 3,069,191.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.