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Finding the Third Proportional to 1,011,265 and 2,172,609

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Solution

The third proportional to 1,011,265 and 2,172,609 is: 4,667,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,265 : 2,172,609 = 2,172,609 : x
  2. Step 2: Convert to fraction form
    1,011,265/2,172,609 = 2,172,609/x
  3. Step 3: Cross multiply
    1,011,265x = 2,172,609 × 2,172,609
  4. Step 4: Simplify right side
    1,011,265x = 4,720,229,866,881
  5. Step 5: Solve for x
    x = 4,720,229,866,881/1,011,265
  6. Step 6: Final answer
    x = 4,667,648.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.