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Finding the Third Proportional to 467,439 and 1,023,817

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Solution

The third proportional to 467,439 and 1,023,817 is: 2,242,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,439 : 1,023,817 = 1,023,817 : x
  2. Step 2: Convert to fraction form
    467,439/1,023,817 = 1,023,817/x
  3. Step 3: Cross multiply
    467,439x = 1,023,817 × 1,023,817
  4. Step 4: Simplify right side
    467,439x = 1,048,201,249,489
  5. Step 5: Solve for x
    x = 1,048,201,249,489/467,439
  6. Step 6: Final answer
    x = 2,242,434.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.