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Finding the Third Proportional to 2,126,614 and 4,666,590

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Solution

The third proportional to 2,126,614 and 4,666,590 is: 10,240,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126,614 : 4,666,590 = 4,666,590 : x
  2. Step 2: Convert to fraction form
    2,126,614/4,666,590 = 4,666,590/x
  3. Step 3: Cross multiply
    2,126,614x = 4,666,590 × 4,666,590
  4. Step 4: Simplify right side
    2,126,614x = 21,777,062,228,100
  5. Step 5: Solve for x
    x = 21,777,062,228,100/2,126,614
  6. Step 6: Final answer
    x = 10,240,251.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.