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Finding the Third Proportional to 4,298,811.75 and 6,902,799.75

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Solution

The third proportional to 4,298,811.75 and 6,902,799.75 is: 11,084,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298,811.75 : 6,902,799.75 = 6,902,799.75 : x
  2. Step 2: Convert to fraction form
    4,298,811.75/6,902,799.75 = 6,902,799.75/x
  3. Step 3: Cross multiply
    4,298,811.75x = 6,902,799.75 × 6,902,799.75
  4. Step 4: Simplify right side
    4,298,811.75x = 47,648,644,388,600.06
  5. Step 5: Solve for x
    x = 47,648,644,388,600.06/4,298,811.75
  6. Step 6: Final answer
    x = 11,084,143.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.