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Finding the Third Proportional to 783,953.25 and 1,662,107.25

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Solution

The third proportional to 783,953.25 and 1,662,107.25 is: 3,523,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,953.25 : 1,662,107.25 = 1,662,107.25 : x
  2. Step 2: Convert to fraction form
    783,953.25/1,662,107.25 = 1,662,107.25/x
  3. Step 3: Cross multiply
    783,953.25x = 1,662,107.25 × 1,662,107.25
  4. Step 4: Simplify right side
    783,953.25x = 2,762,600,510,502.56
  5. Step 5: Solve for x
    x = 2,762,600,510,502.56/783,953.25
  6. Step 6: Final answer
    x = 3,523,935.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.