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Finding the Third Proportional to 2,762,705.25 and 5,811,723

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Solution

The third proportional to 2,762,705.25 and 5,811,723 is: 12,225,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762,705.25 : 5,811,723 = 5,811,723 : x
  2. Step 2: Convert to fraction form
    2,762,705.25/5,811,723 = 5,811,723/x
  3. Step 3: Cross multiply
    2,762,705.25x = 5,811,723 × 5,811,723
  4. Step 4: Simplify right side
    2,762,705.25x = 33,776,124,228,729
  5. Step 5: Solve for x
    x = 33,776,124,228,729/2,762,705.25
  6. Step 6: Final answer
    x = 12,225,742.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.