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Finding the Third Proportional to 827,935 and 1,246,004

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Solution

The third proportional to 827,935 and 1,246,004 is: 1,875,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,935 : 1,246,004 = 1,246,004 : x
  2. Step 2: Convert to fraction form
    827,935/1,246,004 = 1,246,004/x
  3. Step 3: Cross multiply
    827,935x = 1,246,004 × 1,246,004
  4. Step 4: Simplify right side
    827,935x = 1,552,525,968,016
  5. Step 5: Solve for x
    x = 1,552,525,968,016/827,935
  6. Step 6: Final answer
    x = 1,875,178.57

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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.