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Finding the Third Proportional to 478,728 and 1,037,240

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Solution

The third proportional to 478,728 and 1,037,240 is: 2,247,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,728 : 1,037,240 = 1,037,240 : x
  2. Step 2: Convert to fraction form
    478,728/1,037,240 = 1,037,240/x
  3. Step 3: Cross multiply
    478,728x = 1,037,240 × 1,037,240
  4. Step 4: Simplify right side
    478,728x = 1,075,866,817,600
  5. Step 5: Solve for x
    x = 1,075,866,817,600/478,728
  6. Step 6: Final answer
    x = 2,247,344.67

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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.