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Finding the Third Proportional to 825,737.63 and 1,674,810

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Solution

The third proportional to 825,737.63 and 1,674,810 is: 3,396,948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,737.63 : 1,674,810 = 1,674,810 : x
  2. Step 2: Convert to fraction form
    825,737.63/1,674,810 = 1,674,810/x
  3. Step 3: Cross multiply
    825,737.63x = 1,674,810 × 1,674,810
  4. Step 4: Simplify right side
    825,737.63x = 2,804,988,536,100
  5. Step 5: Solve for x
    x = 2,804,988,536,100/825,737.63
  6. Step 6: Final answer
    x = 3,396,948.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.