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Finding the Third Proportional to 825,102 and 1,312,899

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Solution

The third proportional to 825,102 and 1,312,899 is: 2,089,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,102 : 1,312,899 = 1,312,899 : x
  2. Step 2: Convert to fraction form
    825,102/1,312,899 = 1,312,899/x
  3. Step 3: Cross multiply
    825,102x = 1,312,899 × 1,312,899
  4. Step 4: Simplify right side
    825,102x = 1,723,703,784,201
  5. Step 5: Solve for x
    x = 1,723,703,784,201/825,102
  6. Step 6: Final answer
    x = 2,089,079.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.