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Finding the Third Proportional to 499,006 and 1,091,324

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Solution

The third proportional to 499,006 and 1,091,324 is: 2,386,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,006 : 1,091,324 = 1,091,324 : x
  2. Step 2: Convert to fraction form
    499,006/1,091,324 = 1,091,324/x
  3. Step 3: Cross multiply
    499,006x = 1,091,324 × 1,091,324
  4. Step 4: Simplify right side
    499,006x = 1,190,988,072,976
  5. Step 5: Solve for x
    x = 1,190,988,072,976/499,006
  6. Step 6: Final answer
    x = 2,386,720.95

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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.