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Finding the Third Proportional to 2,065,169.25 and 4,473,566.25

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Solution

The third proportional to 2,065,169.25 and 4,473,566.25 is: 9,690,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,169.25 : 4,473,566.25 = 4,473,566.25 : x
  2. Step 2: Convert to fraction form
    2,065,169.25/4,473,566.25 = 4,473,566.25/x
  3. Step 3: Cross multiply
    2,065,169.25x = 4,473,566.25 × 4,473,566.25
  4. Step 4: Simplify right side
    2,065,169.25x = 20,012,794,993,139.06
  5. Step 5: Solve for x
    x = 20,012,794,993,139.06/2,065,169.25
  6. Step 6: Final answer
    x = 9,690,631.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.