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Finding the Third Proportional to 559,200 and 1,216,704

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Solution

The third proportional to 559,200 and 1,216,704 is: 2,647,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,200 : 1,216,704 = 1,216,704 : x
  2. Step 2: Convert to fraction form
    559,200/1,216,704 = 1,216,704/x
  3. Step 3: Cross multiply
    559,200x = 1,216,704 × 1,216,704
  4. Step 4: Simplify right side
    559,200x = 1,480,368,623,616
  5. Step 5: Solve for x
    x = 1,480,368,623,616/559,200
  6. Step 6: Final answer
    x = 2,647,297.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.