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Finding the Third Proportional to 673,998 and 1,467,015

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Solution

The third proportional to 673,998 and 1,467,015 is: 3,193,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,998 : 1,467,015 = 1,467,015 : x
  2. Step 2: Convert to fraction form
    673,998/1,467,015 = 1,467,015/x
  3. Step 3: Cross multiply
    673,998x = 1,467,015 × 1,467,015
  4. Step 4: Simplify right side
    673,998x = 2,152,133,010,225
  5. Step 5: Solve for x
    x = 2,152,133,010,225/673,998
  6. Step 6: Final answer
    x = 3,193,085.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.