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Finding the Third Proportional to 2,031,930 and 4,343,780

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Solution

The third proportional to 2,031,930 and 4,343,780 is: 9,285,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,930 : 4,343,780 = 4,343,780 : x
  2. Step 2: Convert to fraction form
    2,031,930/4,343,780 = 4,343,780/x
  3. Step 3: Cross multiply
    2,031,930x = 4,343,780 × 4,343,780
  4. Step 4: Simplify right side
    2,031,930x = 18,868,424,688,400
  5. Step 5: Solve for x
    x = 18,868,424,688,400/2,031,930
  6. Step 6: Final answer
    x = 9,285,961.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.