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Finding the Third Proportional to 498,650 and 1,090,774

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Solution

The third proportional to 498,650 and 1,090,774 is: 2,386,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,650 : 1,090,774 = 1,090,774 : x
  2. Step 2: Convert to fraction form
    498,650/1,090,774 = 1,090,774/x
  3. Step 3: Cross multiply
    498,650x = 1,090,774 × 1,090,774
  4. Step 4: Simplify right side
    498,650x = 1,189,787,919,076
  5. Step 5: Solve for x
    x = 1,189,787,919,076/498,650
  6. Step 6: Final answer
    x = 2,386,018.09

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