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Finding the Third Proportional to 499,016 and 1,091,340

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Solution

The third proportional to 499,016 and 1,091,340 is: 2,386,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,016 : 1,091,340 = 1,091,340 : x
  2. Step 2: Convert to fraction form
    499,016/1,091,340 = 1,091,340/x
  3. Step 3: Cross multiply
    499,016x = 1,091,340 × 1,091,340
  4. Step 4: Simplify right side
    499,016x = 1,191,022,995,600
  5. Step 5: Solve for x
    x = 1,191,022,995,600/499,016
  6. Step 6: Final answer
    x = 2,386,743.10

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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.