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Finding the Third Proportional to 1,214,165 and 1,781,881

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Solution

The third proportional to 1,214,165 and 1,781,881 is: 2,615,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,165 : 1,781,881 = 1,781,881 : x
  2. Step 2: Convert to fraction form
    1,214,165/1,781,881 = 1,781,881/x
  3. Step 3: Cross multiply
    1,214,165x = 1,781,881 × 1,781,881
  4. Step 4: Simplify right side
    1,214,165x = 3,175,099,898,161
  5. Step 5: Solve for x
    x = 3,175,099,898,161/1,214,165
  6. Step 6: Final answer
    x = 2,615,048.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.