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Finding the Third Proportional to 827,937 and 1,246,007

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Solution

The third proportional to 827,937 and 1,246,007 is: 1,875,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,937 : 1,246,007 = 1,246,007 : x
  2. Step 2: Convert to fraction form
    827,937/1,246,007 = 1,246,007/x
  3. Step 3: Cross multiply
    827,937x = 1,246,007 × 1,246,007
  4. Step 4: Simplify right side
    827,937x = 1,552,533,444,049
  5. Step 5: Solve for x
    x = 1,552,533,444,049/827,937
  6. Step 6: Final answer
    x = 1,875,183.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.