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Finding the Third Proportional to 423,543.94 and 825,810.19

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Solution

The third proportional to 423,543.94 and 825,810.19 is: 1,610,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,543.94 : 825,810.19 = 825,810.19 : x
  2. Step 2: Convert to fraction form
    423,543.94/825,810.19 = 825,810.19/x
  3. Step 3: Cross multiply
    423,543.94x = 825,810.19 × 825,810.19
  4. Step 4: Simplify right side
    423,543.94x = 681,962,465,778.79
  5. Step 5: Solve for x
    x = 681,962,465,778.79/423,543.94
  6. Step 6: Final answer
    x = 1,610,133.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.