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Finding the Third Proportional to 500,024 and 1,018,616

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Solution

The third proportional to 500,024 and 1,018,616 is: 2,075,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,024 : 1,018,616 = 1,018,616 : x
  2. Step 2: Convert to fraction form
    500,024/1,018,616 = 1,018,616/x
  3. Step 3: Cross multiply
    500,024x = 1,018,616 × 1,018,616
  4. Step 4: Simplify right side
    500,024x = 1,037,578,555,456
  5. Step 5: Solve for x
    x = 1,037,578,555,456/500,024
  6. Step 6: Final answer
    x = 2,075,057.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.