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Finding the Third Proportional to 491,442.75 and 1,051,196.06

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Solution

The third proportional to 491,442.75 and 1,051,196.06 is: 2,248,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,442.75 : 1,051,196.06 = 1,051,196.06 : x
  2. Step 2: Convert to fraction form
    491,442.75/1,051,196.06 = 1,051,196.06/x
  3. Step 3: Cross multiply
    491,442.75x = 1,051,196.06 × 1,051,196.06
  4. Step 4: Simplify right side
    491,442.75x = 1,105,013,161,815.50
  5. Step 5: Solve for x
    x = 1,105,013,161,815.50/491,442.75
  6. Step 6: Final answer
    x = 2,248,508.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.