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Finding the Third Proportional to 2,731,968 and 4,009,374

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Solution

The third proportional to 2,731,968 and 4,009,374 is: 5,884,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731,968 : 4,009,374 = 4,009,374 : x
  2. Step 2: Convert to fraction form
    2,731,968/4,009,374 = 4,009,374/x
  3. Step 3: Cross multiply
    2,731,968x = 4,009,374 × 4,009,374
  4. Step 4: Simplify right side
    2,731,968x = 16,075,079,871,876
  5. Step 5: Solve for x
    x = 16,075,079,871,876/2,731,968
  6. Step 6: Final answer
    x = 5,884,065.95

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