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Finding the Third Proportional to 2,266,623 and 3,421,764

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Solution

The third proportional to 2,266,623 and 3,421,764 is: 5,165,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266,623 : 3,421,764 = 3,421,764 : x
  2. Step 2: Convert to fraction form
    2,266,623/3,421,764 = 3,421,764/x
  3. Step 3: Cross multiply
    2,266,623x = 3,421,764 × 3,421,764
  4. Step 4: Simplify right side
    2,266,623x = 11,708,468,871,696
  5. Step 5: Solve for x
    x = 11,708,468,871,696/2,266,623
  6. Step 6: Final answer
    x = 5,165,600.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.