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Finding the Third Proportional to 673,191 and 1,472,742

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Solution

The third proportional to 673,191 and 1,472,742 is: 3,221,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,191 : 1,472,742 = 1,472,742 : x
  2. Step 2: Convert to fraction form
    673,191/1,472,742 = 1,472,742/x
  3. Step 3: Cross multiply
    673,191x = 1,472,742 × 1,472,742
  4. Step 4: Simplify right side
    673,191x = 2,168,968,998,564
  5. Step 5: Solve for x
    x = 2,168,968,998,564/673,191
  6. Step 6: Final answer
    x = 3,221,922.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.