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Finding the Third Proportional to 803,172 and 1,672,932

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Solution

The third proportional to 803,172 and 1,672,932 is: 3,484,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,172 : 1,672,932 = 1,672,932 : x
  2. Step 2: Convert to fraction form
    803,172/1,672,932 = 1,672,932/x
  3. Step 3: Cross multiply
    803,172x = 1,672,932 × 1,672,932
  4. Step 4: Simplify right side
    803,172x = 2,798,701,476,624
  5. Step 5: Solve for x
    x = 2,798,701,476,624/803,172
  6. Step 6: Final answer
    x = 3,484,560.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.