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Finding the Third Proportional to 847,023.75 and 1,272,415.50

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Solution

The third proportional to 847,023.75 and 1,272,415.50 is: 1,911,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,023.75 : 1,272,415.50 = 1,272,415.50 : x
  2. Step 2: Convert to fraction form
    847,023.75/1,272,415.50 = 1,272,415.50/x
  3. Step 3: Cross multiply
    847,023.75x = 1,272,415.50 × 1,272,415.50
  4. Step 4: Simplify right side
    847,023.75x = 1,619,041,204,640.25
  5. Step 5: Solve for x
    x = 1,619,041,204,640.25/847,023.75
  6. Step 6: Final answer
    x = 1,911,447.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.