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Finding the Third Proportional to 478,722 and 1,037,227

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Solution

The third proportional to 478,722 and 1,037,227 is: 2,247,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,722 : 1,037,227 = 1,037,227 : x
  2. Step 2: Convert to fraction form
    478,722/1,037,227 = 1,037,227/x
  3. Step 3: Cross multiply
    478,722x = 1,037,227 × 1,037,227
  4. Step 4: Simplify right side
    478,722x = 1,075,839,849,529
  5. Step 5: Solve for x
    x = 1,075,839,849,529/478,722
  6. Step 6: Final answer
    x = 2,247,316.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.