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Finding the Third Proportional to 673,464 and 1,496,392.50

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Solution

The third proportional to 673,464 and 1,496,392.50 is: 3,324,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,464 : 1,496,392.50 = 1,496,392.50 : x
  2. Step 2: Convert to fraction form
    673,464/1,496,392.50 = 1,496,392.50/x
  3. Step 3: Cross multiply
    673,464x = 1,496,392.50 × 1,496,392.50
  4. Step 4: Simplify right side
    673,464x = 2,239,190,514,056.25
  5. Step 5: Solve for x
    x = 2,239,190,514,056.25/673,464
  6. Step 6: Final answer
    x = 3,324,885.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.