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Finding the Third Proportional to 518,184 and 1,221,468

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Solution

The third proportional to 518,184 and 1,221,468 is: 2,879,255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,184 : 1,221,468 = 1,221,468 : x
  2. Step 2: Convert to fraction form
    518,184/1,221,468 = 1,221,468/x
  3. Step 3: Cross multiply
    518,184x = 1,221,468 × 1,221,468
  4. Step 4: Simplify right side
    518,184x = 1,491,984,075,024
  5. Step 5: Solve for x
    x = 1,491,984,075,024/518,184
  6. Step 6: Final answer
    x = 2,879,255.39

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.