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Finding the Third Proportional to 466,816 and 1,021,544

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Solution

The third proportional to 466,816 and 1,021,544 is: 2,235,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,816 : 1,021,544 = 1,021,544 : x
  2. Step 2: Convert to fraction form
    466,816/1,021,544 = 1,021,544/x
  3. Step 3: Cross multiply
    466,816x = 1,021,544 × 1,021,544
  4. Step 4: Simplify right side
    466,816x = 1,043,552,143,936
  5. Step 5: Solve for x
    x = 1,043,552,143,936/466,816
  6. Step 6: Final answer
    x = 2,235,467.82

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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.