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Finding the Third Proportional to 935,202 and 1,446,451

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Solution

The third proportional to 935,202 and 1,446,451 is: 2,237,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,202 : 1,446,451 = 1,446,451 : x
  2. Step 2: Convert to fraction form
    935,202/1,446,451 = 1,446,451/x
  3. Step 3: Cross multiply
    935,202x = 1,446,451 × 1,446,451
  4. Step 4: Simplify right side
    935,202x = 2,092,220,495,401
  5. Step 5: Solve for x
    x = 2,092,220,495,401/935,202
  6. Step 6: Final answer
    x = 2,237,185.65

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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.