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Finding the Third Proportional to 513,726 and 1,114,996

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Solution

The third proportional to 513,726 and 1,114,996 is: 2,419,998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,726 : 1,114,996 = 1,114,996 : x
  2. Step 2: Convert to fraction form
    513,726/1,114,996 = 1,114,996/x
  3. Step 3: Cross multiply
    513,726x = 1,114,996 × 1,114,996
  4. Step 4: Simplify right side
    513,726x = 1,243,216,080,016
  5. Step 5: Solve for x
    x = 1,243,216,080,016/513,726
  6. Step 6: Final answer
    x = 2,419,998.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.