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Finding the Third Proportional to 514,019 and 1,113,844

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Solution

The third proportional to 514,019 and 1,113,844 is: 2,413,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,019 : 1,113,844 = 1,113,844 : x
  2. Step 2: Convert to fraction form
    514,019/1,113,844 = 1,113,844/x
  3. Step 3: Cross multiply
    514,019x = 1,113,844 × 1,113,844
  4. Step 4: Simplify right side
    514,019x = 1,240,648,456,336
  5. Step 5: Solve for x
    x = 1,240,648,456,336/514,019
  6. Step 6: Final answer
    x = 2,413,623.73

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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.