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Finding the Third Proportional to 673,233 and 1,451,442

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Solution

The third proportional to 673,233 and 1,451,442 is: 3,129,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,233 : 1,451,442 = 1,451,442 : x
  2. Step 2: Convert to fraction form
    673,233/1,451,442 = 1,451,442/x
  3. Step 3: Cross multiply
    673,233x = 1,451,442 × 1,451,442
  4. Step 4: Simplify right side
    673,233x = 2,106,683,879,364
  5. Step 5: Solve for x
    x = 2,106,683,879,364/673,233
  6. Step 6: Final answer
    x = 3,129,204.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.