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Finding the Third Proportional to 808,099 and 1,767,647

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Solution

The third proportional to 808,099 and 1,767,647 is: 3,866,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,099 : 1,767,647 = 1,767,647 : x
  2. Step 2: Convert to fraction form
    808,099/1,767,647 = 1,767,647/x
  3. Step 3: Cross multiply
    808,099x = 1,767,647 × 1,767,647
  4. Step 4: Simplify right side
    808,099x = 3,124,575,916,609
  5. Step 5: Solve for x
    x = 3,124,575,916,609/808,099
  6. Step 6: Final answer
    x = 3,866,575.65

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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.