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Finding the Third Proportional to 1,360,270 and 2,969,221

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Solution

The third proportional to 1,360,270 and 2,969,221 is: 6,481,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360,270 : 2,969,221 = 2,969,221 : x
  2. Step 2: Convert to fraction form
    1,360,270/2,969,221 = 2,969,221/x
  3. Step 3: Cross multiply
    1,360,270x = 2,969,221 × 2,969,221
  4. Step 4: Simplify right side
    1,360,270x = 8,816,273,346,841
  5. Step 5: Solve for x
    x = 8,816,273,346,841/1,360,270
  6. Step 6: Final answer
    x = 6,481,267.21

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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.