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Finding the Third Proportional to 498,908 and 1,094,392

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Solution

The third proportional to 498,908 and 1,094,392 is: 2,400,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,908 : 1,094,392 = 1,094,392 : x
  2. Step 2: Convert to fraction form
    498,908/1,094,392 = 1,094,392/x
  3. Step 3: Cross multiply
    498,908x = 1,094,392 × 1,094,392
  4. Step 4: Simplify right side
    498,908x = 1,197,693,849,664
  5. Step 5: Solve for x
    x = 1,197,693,849,664/498,908
  6. Step 6: Final answer
    x = 2,400,630.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.