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Finding the Third Proportional to 4,295,184 and 6,008,122.13

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Solution

The third proportional to 4,295,184 and 6,008,122.13 is: 8,404,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295,184 : 6,008,122.13 = 6,008,122.13 : x
  2. Step 2: Convert to fraction form
    4,295,184/6,008,122.13 = 6,008,122.13/x
  3. Step 3: Cross multiply
    4,295,184x = 6,008,122.13 × 6,008,122.13
  4. Step 4: Simplify right side
    4,295,184x = 36,097,531,468,914.52
  5. Step 5: Solve for x
    x = 36,097,531,468,914.52/4,295,184
  6. Step 6: Final answer
    x = 8,404,187.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.