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Finding the Third Proportional to 1,332,190 and 2,031,657

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Solution

The third proportional to 1,332,190 and 2,031,657 is: 3,098,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332,190 : 2,031,657 = 2,031,657 : x
  2. Step 2: Convert to fraction form
    1,332,190/2,031,657 = 2,031,657/x
  3. Step 3: Cross multiply
    1,332,190x = 2,031,657 × 2,031,657
  4. Step 4: Simplify right side
    1,332,190x = 4,127,630,165,649
  5. Step 5: Solve for x
    x = 4,127,630,165,649/1,332,190
  6. Step 6: Final answer
    x = 3,098,379.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.