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Finding the Third Proportional to 3,298,686.75 and 4,645,191.38

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Solution

The third proportional to 3,298,686.75 and 4,645,191.38 is: 6,541,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298,686.75 : 4,645,191.38 = 4,645,191.38 : x
  2. Step 2: Convert to fraction form
    3,298,686.75/4,645,191.38 = 4,645,191.38/x
  3. Step 3: Cross multiply
    3,298,686.75x = 4,645,191.38 × 4,645,191.38
  4. Step 4: Simplify right side
    3,298,686.75x = 21,577,802,910,374.39
  5. Step 5: Solve for x
    x = 21,577,802,910,374.39/3,298,686.75
  6. Step 6: Final answer
    x = 6,541,331.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.