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Finding the Third Proportional to 935,206 and 1,446,458

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Solution

The third proportional to 935,206 and 1,446,458 is: 2,237,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,206 : 1,446,458 = 1,446,458 : x
  2. Step 2: Convert to fraction form
    935,206/1,446,458 = 1,446,458/x
  3. Step 3: Cross multiply
    935,206x = 1,446,458 × 1,446,458
  4. Step 4: Simplify right side
    935,206x = 2,092,240,745,764
  5. Step 5: Solve for x
    x = 2,092,240,745,764/935,206
  6. Step 6: Final answer
    x = 2,237,197.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.