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Finding the Third Proportional to 471,920 and 1,026,784

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Solution

The third proportional to 471,920 and 1,026,784 is: 2,234,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,920 : 1,026,784 = 1,026,784 : x
  2. Step 2: Convert to fraction form
    471,920/1,026,784 = 1,026,784/x
  3. Step 3: Cross multiply
    471,920x = 1,026,784 × 1,026,784
  4. Step 4: Simplify right side
    471,920x = 1,054,285,382,656
  5. Step 5: Solve for x
    x = 1,054,285,382,656/471,920
  6. Step 6: Final answer
    x = 2,234,034.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.