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Finding the Third Proportional to 785,619 and 1,255,216.50

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Solution

The third proportional to 785,619 and 1,255,216.50 is: 2,005,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,619 : 1,255,216.50 = 1,255,216.50 : x
  2. Step 2: Convert to fraction form
    785,619/1,255,216.50 = 1,255,216.50/x
  3. Step 3: Cross multiply
    785,619x = 1,255,216.50 × 1,255,216.50
  4. Step 4: Simplify right side
    785,619x = 1,575,568,461,872.25
  5. Step 5: Solve for x
    x = 1,575,568,461,872.25/785,619
  6. Step 6: Final answer
    x = 2,005,512.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.