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Finding the Third Proportional to 762,048 and 1,704,523.50

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Solution

The third proportional to 762,048 and 1,704,523.50 is: 3,812,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,048 : 1,704,523.50 = 1,704,523.50 : x
  2. Step 2: Convert to fraction form
    762,048/1,704,523.50 = 1,704,523.50/x
  3. Step 3: Cross multiply
    762,048x = 1,704,523.50 × 1,704,523.50
  4. Step 4: Simplify right side
    762,048x = 2,905,400,362,052.25
  5. Step 5: Solve for x
    x = 2,905,400,362,052.25/762,048
  6. Step 6: Final answer
    x = 3,812,621.20

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.