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Finding the Third Proportional to 806,152.50 and 1,218,300.75

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Solution

The third proportional to 806,152.50 and 1,218,300.75 is: 1,841,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,152.50 : 1,218,300.75 = 1,218,300.75 : x
  2. Step 2: Convert to fraction form
    806,152.50/1,218,300.75 = 1,218,300.75/x
  3. Step 3: Cross multiply
    806,152.50x = 1,218,300.75 × 1,218,300.75
  4. Step 4: Simplify right side
    806,152.50x = 1,484,256,717,450.56
  5. Step 5: Solve for x
    x = 1,484,256,717,450.56/806,152.50
  6. Step 6: Final answer
    x = 1,841,161.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.