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Finding the Third Proportional to 500,958 and 1,019,412

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Solution

The third proportional to 500,958 and 1,019,412 is: 2,074,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,958 : 1,019,412 = 1,019,412 : x
  2. Step 2: Convert to fraction form
    500,958/1,019,412 = 1,019,412/x
  3. Step 3: Cross multiply
    500,958x = 1,019,412 × 1,019,412
  4. Step 4: Simplify right side
    500,958x = 1,039,200,825,744
  5. Step 5: Solve for x
    x = 1,039,200,825,744/500,958
  6. Step 6: Final answer
    x = 2,074,427.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.