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Finding the Third Proportional to 496,214 and 1,076,448

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Solution

The third proportional to 496,214 and 1,076,448 is: 2,335,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,214 : 1,076,448 = 1,076,448 : x
  2. Step 2: Convert to fraction form
    496,214/1,076,448 = 1,076,448/x
  3. Step 3: Cross multiply
    496,214x = 1,076,448 × 1,076,448
  4. Step 4: Simplify right side
    496,214x = 1,158,740,296,704
  5. Step 5: Solve for x
    x = 1,158,740,296,704/496,214
  6. Step 6: Final answer
    x = 2,335,162.44

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Why These Related Problems?

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