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Finding the Third Proportional to 851,740 and 1,817,744

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Solution

The third proportional to 851,740 and 1,817,744 is: 3,879,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,740 : 1,817,744 = 1,817,744 : x
  2. Step 2: Convert to fraction form
    851,740/1,817,744 = 1,817,744/x
  3. Step 3: Cross multiply
    851,740x = 1,817,744 × 1,817,744
  4. Step 4: Simplify right side
    851,740x = 3,304,193,249,536
  5. Step 5: Solve for x
    x = 3,304,193,249,536/851,740
  6. Step 6: Final answer
    x = 3,879,344.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.