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Finding the Third Proportional to 1,579,574.25 and 3,080,416.50

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Solution

The third proportional to 1,579,574.25 and 3,080,416.50 is: 6,007,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579,574.25 : 3,080,416.50 = 3,080,416.50 : x
  2. Step 2: Convert to fraction form
    1,579,574.25/3,080,416.50 = 3,080,416.50/x
  3. Step 3: Cross multiply
    1,579,574.25x = 3,080,416.50 × 3,080,416.50
  4. Step 4: Simplify right side
    1,579,574.25x = 9,488,965,813,472.25
  5. Step 5: Solve for x
    x = 9,488,965,813,472.25/1,579,574.25
  6. Step 6: Final answer
    x = 6,007,293.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.