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Finding the Third Proportional to 474,356 and 1,037,200

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Solution

The third proportional to 474,356 and 1,037,200 is: 2,267,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,356 : 1,037,200 = 1,037,200 : x
  2. Step 2: Convert to fraction form
    474,356/1,037,200 = 1,037,200/x
  3. Step 3: Cross multiply
    474,356x = 1,037,200 × 1,037,200
  4. Step 4: Simplify right side
    474,356x = 1,075,783,840,000
  5. Step 5: Solve for x
    x = 1,075,783,840,000/474,356
  6. Step 6: Final answer
    x = 2,267,882.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.