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Finding the Third Proportional to 785,624.06 and 1,255,224.09

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Solution

The third proportional to 785,624.06 and 1,255,224.09 is: 2,005,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,624.06 : 1,255,224.09 = 1,255,224.09 : x
  2. Step 2: Convert to fraction form
    785,624.06/1,255,224.09 = 1,255,224.09/x
  3. Step 3: Cross multiply
    785,624.06x = 1,255,224.09 × 1,255,224.09
  4. Step 4: Simplify right side
    785,624.06x = 1,575,587,525,530.51
  5. Step 5: Solve for x
    x = 1,575,587,525,530.51/785,624.06
  6. Step 6: Final answer
    x = 2,005,523.51

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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.