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Finding the Third Proportional to 1,210,767.75 and 1,899,510.75

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Solution

The third proportional to 1,210,767.75 and 1,899,510.75 is: 2,980,043.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,767.75 : 1,899,510.75 = 1,899,510.75 : x
  2. Step 2: Convert to fraction form
    1,210,767.75/1,899,510.75 = 1,899,510.75/x
  3. Step 3: Cross multiply
    1,210,767.75x = 1,899,510.75 × 1,899,510.75
  4. Step 4: Simplify right side
    1,210,767.75x = 3,608,141,089,365.56
  5. Step 5: Solve for x
    x = 3,608,141,089,365.56/1,210,767.75
  6. Step 6: Final answer
    x = 2,980,043.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.