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Finding the Third Proportional to 1,363,185.75 and 2,867,392.50

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Solution

The third proportional to 1,363,185.75 and 2,867,392.50 is: 6,031,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363,185.75 : 2,867,392.50 = 2,867,392.50 : x
  2. Step 2: Convert to fraction form
    1,363,185.75/2,867,392.50 = 2,867,392.50/x
  3. Step 3: Cross multiply
    1,363,185.75x = 2,867,392.50 × 2,867,392.50
  4. Step 4: Simplify right side
    1,363,185.75x = 8,221,939,749,056.25
  5. Step 5: Solve for x
    x = 8,221,939,749,056.25/1,363,185.75
  6. Step 6: Final answer
    x = 6,031,415.56

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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.