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Finding the Third Proportional to 2,731,974 and 4,009,380

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Solution

The third proportional to 2,731,974 and 4,009,380 is: 5,884,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731,974 : 4,009,380 = 4,009,380 : x
  2. Step 2: Convert to fraction form
    2,731,974/4,009,380 = 4,009,380/x
  3. Step 3: Cross multiply
    2,731,974x = 4,009,380 × 4,009,380
  4. Step 4: Simplify right side
    2,731,974x = 16,075,127,984,400
  5. Step 5: Solve for x
    x = 16,075,127,984,400/2,731,974
  6. Step 6: Final answer
    x = 5,884,070.63

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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.