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Finding the Third Proportional to 1,016,098 and 2,272,772

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Solution

The third proportional to 1,016,098 and 2,272,772 is: 5,083,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,098 : 2,272,772 = 2,272,772 : x
  2. Step 2: Convert to fraction form
    1,016,098/2,272,772 = 2,272,772/x
  3. Step 3: Cross multiply
    1,016,098x = 2,272,772 × 2,272,772
  4. Step 4: Simplify right side
    1,016,098x = 5,165,492,563,984
  5. Step 5: Solve for x
    x = 5,165,492,563,984/1,016,098
  6. Step 6: Final answer
    x = 5,083,655.87

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.