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Finding the Third Proportional to 2,666,764 and 4,236,342

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Solution

The third proportional to 2,666,764 and 4,236,342 is: 6,729,726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666,764 : 4,236,342 = 4,236,342 : x
  2. Step 2: Convert to fraction form
    2,666,764/4,236,342 = 4,236,342/x
  3. Step 3: Cross multiply
    2,666,764x = 4,236,342 × 4,236,342
  4. Step 4: Simplify right side
    2,666,764x = 17,946,593,540,964
  5. Step 5: Solve for x
    x = 17,946,593,540,964/2,666,764
  6. Step 6: Final answer
    x = 6,729,726.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.