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Finding the Third Proportional to 1,192,811.06 and 2,608,275.94

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Solution

The third proportional to 1,192,811.06 and 2,608,275.94 is: 5,703,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192,811.06 : 2,608,275.94 = 2,608,275.94 : x
  2. Step 2: Convert to fraction form
    1,192,811.06/2,608,275.94 = 2,608,275.94/x
  3. Step 3: Cross multiply
    1,192,811.06x = 2,608,275.94 × 2,608,275.94
  4. Step 4: Simplify right side
    1,192,811.06x = 6,803,103,366,141.50
  5. Step 5: Solve for x
    x = 6,803,103,366,141.50/1,192,811.06
  6. Step 6: Final answer
    x = 5,703,420.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.