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Finding the Third Proportional to 1,104,131.25 and 1,565,770.50

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Solution

The third proportional to 1,104,131.25 and 1,565,770.50 is: 2,220,421.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104,131.25 : 1,565,770.50 = 1,565,770.50 : x
  2. Step 2: Convert to fraction form
    1,104,131.25/1,565,770.50 = 1,565,770.50/x
  3. Step 3: Cross multiply
    1,104,131.25x = 1,565,770.50 × 1,565,770.50
  4. Step 4: Simplify right side
    1,104,131.25x = 2,451,637,258,670.25
  5. Step 5: Solve for x
    x = 2,451,637,258,670.25/1,104,131.25
  6. Step 6: Final answer
    x = 2,220,421.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.