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Finding the Third Proportional to 825,882 and 1,828,638.75

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Solution

The third proportional to 825,882 and 1,828,638.75 is: 4,048,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,882 : 1,828,638.75 = 1,828,638.75 : x
  2. Step 2: Convert to fraction form
    825,882/1,828,638.75 = 1,828,638.75/x
  3. Step 3: Cross multiply
    825,882x = 1,828,638.75 × 1,828,638.75
  4. Step 4: Simplify right side
    825,882x = 3,343,919,678,001.56
  5. Step 5: Solve for x
    x = 3,343,919,678,001.56/825,882
  6. Step 6: Final answer
    x = 4,048,907.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.