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Finding the Third Proportional to 491,886 and 1,074,900

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Solution

The third proportional to 491,886 and 1,074,900 is: 2,348,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,886 : 1,074,900 = 1,074,900 : x
  2. Step 2: Convert to fraction form
    491,886/1,074,900 = 1,074,900/x
  3. Step 3: Cross multiply
    491,886x = 1,074,900 × 1,074,900
  4. Step 4: Simplify right side
    491,886x = 1,155,410,010,000
  5. Step 5: Solve for x
    x = 1,155,410,010,000/491,886
  6. Step 6: Final answer
    x = 2,348,938.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.