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Finding the Third Proportional to 2,674,982 and 5,786,272

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Solution

The third proportional to 2,674,982 and 5,786,272 is: 12,516,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674,982 : 5,786,272 = 5,786,272 : x
  2. Step 2: Convert to fraction form
    2,674,982/5,786,272 = 5,786,272/x
  3. Step 3: Cross multiply
    2,674,982x = 5,786,272 × 5,786,272
  4. Step 4: Simplify right side
    2,674,982x = 33,480,943,657,984
  5. Step 5: Solve for x
    x = 33,480,943,657,984/2,674,982
  6. Step 6: Final answer
    x = 12,516,324.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.