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Finding the Third Proportional to 852,134.06 and 1,864,625.06

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Solution

The third proportional to 852,134.06 and 1,864,625.06 is: 4,080,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,134.06 : 1,864,625.06 = 1,864,625.06 : x
  2. Step 2: Convert to fraction form
    852,134.06/1,864,625.06 = 1,864,625.06/x
  3. Step 3: Cross multiply
    852,134.06x = 1,864,625.06 × 1,864,625.06
  4. Step 4: Simplify right side
    852,134.06x = 3,476,826,623,703.13
  5. Step 5: Solve for x
    x = 3,476,826,623,703.13/852,134.06
  6. Step 6: Final answer
    x = 4,080,140.41

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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.