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Finding the Third Proportional to 491,308.50 and 1,069,116

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Solution

The third proportional to 491,308.50 and 1,069,116 is: 2,326,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,308.50 : 1,069,116 = 1,069,116 : x
  2. Step 2: Convert to fraction form
    491,308.50/1,069,116 = 1,069,116/x
  3. Step 3: Cross multiply
    491,308.50x = 1,069,116 × 1,069,116
  4. Step 4: Simplify right side
    491,308.50x = 1,143,009,021,456
  5. Step 5: Solve for x
    x = 1,143,009,021,456/491,308.50
  6. Step 6: Final answer
    x = 2,326,458.88

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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.