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Finding the Third Proportional to 471,896 and 1,026,724

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Solution

The third proportional to 471,896 and 1,026,724 is: 2,233,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,896 : 1,026,724 = 1,026,724 : x
  2. Step 2: Convert to fraction form
    471,896/1,026,724 = 1,026,724/x
  3. Step 3: Cross multiply
    471,896x = 1,026,724 × 1,026,724
  4. Step 4: Simplify right side
    471,896x = 1,054,162,172,176
  5. Step 5: Solve for x
    x = 1,054,162,172,176/471,896
  6. Step 6: Final answer
    x = 2,233,886.64

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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.