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Finding the Third Proportional to 498,654 and 1,026,714

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Solution

The third proportional to 498,654 and 1,026,714 is: 2,113,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,654 : 1,026,714 = 1,026,714 : x
  2. Step 2: Convert to fraction form
    498,654/1,026,714 = 1,026,714/x
  3. Step 3: Cross multiply
    498,654x = 1,026,714 × 1,026,714
  4. Step 4: Simplify right side
    498,654x = 1,054,141,637,796
  5. Step 5: Solve for x
    x = 1,054,141,637,796/498,654
  6. Step 6: Final answer
    x = 2,113,974.09

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.