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Finding the Third Proportional to 1,132,047 and 1,538,226

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Solution

The third proportional to 1,132,047 and 1,538,226 is: 2,090,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132,047 : 1,538,226 = 1,538,226 : x
  2. Step 2: Convert to fraction form
    1,132,047/1,538,226 = 1,538,226/x
  3. Step 3: Cross multiply
    1,132,047x = 1,538,226 × 1,538,226
  4. Step 4: Simplify right side
    1,132,047x = 2,366,139,227,076
  5. Step 5: Solve for x
    x = 2,366,139,227,076/1,132,047
  6. Step 6: Final answer
    x = 2,090,142.22

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.