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Finding the Third Proportional to 2,731,938 and 4,009,329

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Solution

The third proportional to 2,731,938 and 4,009,329 is: 5,883,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731,938 : 4,009,329 = 4,009,329 : x
  2. Step 2: Convert to fraction form
    2,731,938/4,009,329 = 4,009,329/x
  3. Step 3: Cross multiply
    2,731,938x = 4,009,329 × 4,009,329
  4. Step 4: Simplify right side
    2,731,938x = 16,074,719,030,241
  5. Step 5: Solve for x
    x = 16,074,719,030,241/2,731,938
  6. Step 6: Final answer
    x = 5,883,998.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.