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Finding the Third Proportional to 467,498 and 1,009,759

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Solution

The third proportional to 467,498 and 1,009,759 is: 2,181,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,498 : 1,009,759 = 1,009,759 : x
  2. Step 2: Convert to fraction form
    467,498/1,009,759 = 1,009,759/x
  3. Step 3: Cross multiply
    467,498x = 1,009,759 × 1,009,759
  4. Step 4: Simplify right side
    467,498x = 1,019,613,238,081
  5. Step 5: Solve for x
    x = 1,019,613,238,081/467,498
  6. Step 6: Final answer
    x = 2,181,000.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.