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Finding the Third Proportional to 488,206 and 1,028,900

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Solution

The third proportional to 488,206 and 1,028,900 is: 2,168,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,206 : 1,028,900 = 1,028,900 : x
  2. Step 2: Convert to fraction form
    488,206/1,028,900 = 1,028,900/x
  3. Step 3: Cross multiply
    488,206x = 1,028,900 × 1,028,900
  4. Step 4: Simplify right side
    488,206x = 1,058,635,210,000
  5. Step 5: Solve for x
    x = 1,058,635,210,000/488,206
  6. Step 6: Final answer
    x = 2,168,419.09

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.