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Finding the Third Proportional to 705,596.06 and 1,121,323.50

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Solution

The third proportional to 705,596.06 and 1,121,323.50 is: 1,781,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,596.06 : 1,121,323.50 = 1,121,323.50 : x
  2. Step 2: Convert to fraction form
    705,596.06/1,121,323.50 = 1,121,323.50/x
  3. Step 3: Cross multiply
    705,596.06x = 1,121,323.50 × 1,121,323.50
  4. Step 4: Simplify right side
    705,596.06x = 1,257,366,391,652.25
  5. Step 5: Solve for x
    x = 1,257,366,391,652.25/705,596.06
  6. Step 6: Final answer
    x = 1,781,991.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.