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Finding the Third Proportional to 1,260,417 and 2,765,742

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Solution

The third proportional to 1,260,417 and 2,765,742 is: 6,068,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260,417 : 2,765,742 = 2,765,742 : x
  2. Step 2: Convert to fraction form
    1,260,417/2,765,742 = 2,765,742/x
  3. Step 3: Cross multiply
    1,260,417x = 2,765,742 × 2,765,742
  4. Step 4: Simplify right side
    1,260,417x = 7,649,328,810,564
  5. Step 5: Solve for x
    x = 7,649,328,810,564/1,260,417
  6. Step 6: Final answer
    x = 6,068,887.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.