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Finding the Third Proportional to 1,278,016 and 2,735,564

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Solution

The third proportional to 1,278,016 and 2,735,564 is: 5,855,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,016 : 2,735,564 = 2,735,564 : x
  2. Step 2: Convert to fraction form
    1,278,016/2,735,564 = 2,735,564/x
  3. Step 3: Cross multiply
    1,278,016x = 2,735,564 × 2,735,564
  4. Step 4: Simplify right side
    1,278,016x = 7,483,310,398,096
  5. Step 5: Solve for x
    x = 7,483,310,398,096/1,278,016
  6. Step 6: Final answer
    x = 5,855,412.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.