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Finding the Third Proportional to 2,362,806.75 and 3,649,143.75

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Solution

The third proportional to 2,362,806.75 and 3,649,143.75 is: 5,635,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362,806.75 : 3,649,143.75 = 3,649,143.75 : x
  2. Step 2: Convert to fraction form
    2,362,806.75/3,649,143.75 = 3,649,143.75/x
  3. Step 3: Cross multiply
    2,362,806.75x = 3,649,143.75 × 3,649,143.75
  4. Step 4: Simplify right side
    2,362,806.75x = 13,316,250,108,164.06
  5. Step 5: Solve for x
    x = 13,316,250,108,164.06/2,362,806.75
  6. Step 6: Final answer
    x = 5,635,776.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.