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Finding the Third Proportional to 1,199,263.08 and 1,958,081.06

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Solution

The third proportional to 1,199,263.08 and 1,958,081.06 is: 3,197,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,263.08 : 1,958,081.06 = 1,958,081.06 : x
  2. Step 2: Convert to fraction form
    1,199,263.08/1,958,081.06 = 1,958,081.06/x
  3. Step 3: Cross multiply
    1,199,263.08x = 1,958,081.06 × 1,958,081.06
  4. Step 4: Simplify right side
    1,199,263.08x = 3,834,081,447,321.13
  5. Step 5: Solve for x
    x = 3,834,081,447,321.13/1,199,263.08
  6. Step 6: Final answer
    x = 3,197,031.17

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.