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Finding the Third Proportional to 1,365,125 and 2,962,301

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Solution

The third proportional to 1,365,125 and 2,962,301 is: 6,428,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,125 : 2,962,301 = 2,962,301 : x
  2. Step 2: Convert to fraction form
    1,365,125/2,962,301 = 2,962,301/x
  3. Step 3: Cross multiply
    1,365,125x = 2,962,301 × 2,962,301
  4. Step 4: Simplify right side
    1,365,125x = 8,775,227,214,601
  5. Step 5: Solve for x
    x = 8,775,227,214,601/1,365,125
  6. Step 6: Final answer
    x = 6,428,149.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.