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Finding the Third Proportional to 527,229 and 1,091,844

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Solution

The third proportional to 527,229 and 1,091,844 is: 2,261,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,229 : 1,091,844 = 1,091,844 : x
  2. Step 2: Convert to fraction form
    527,229/1,091,844 = 1,091,844/x
  3. Step 3: Cross multiply
    527,229x = 1,091,844 × 1,091,844
  4. Step 4: Simplify right side
    527,229x = 1,192,123,320,336
  5. Step 5: Solve for x
    x = 1,192,123,320,336/527,229
  6. Step 6: Final answer
    x = 2,261,111.05

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.