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Finding the Third Proportional to 516,336 and 1,118,451

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Solution

The third proportional to 516,336 and 1,118,451 is: 2,422,710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,336 : 1,118,451 = 1,118,451 : x
  2. Step 2: Convert to fraction form
    516,336/1,118,451 = 1,118,451/x
  3. Step 3: Cross multiply
    516,336x = 1,118,451 × 1,118,451
  4. Step 4: Simplify right side
    516,336x = 1,250,932,639,401
  5. Step 5: Solve for x
    x = 1,250,932,639,401/516,336
  6. Step 6: Final answer
    x = 2,422,710.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.