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Finding the Third Proportional to 1,681,935.75 and 2,522,385

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Solution

The third proportional to 1,681,935.75 and 2,522,385 is: 3,782,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,935.75 : 2,522,385 = 2,522,385 : x
  2. Step 2: Convert to fraction form
    1,681,935.75/2,522,385 = 2,522,385/x
  3. Step 3: Cross multiply
    1,681,935.75x = 2,522,385 × 2,522,385
  4. Step 4: Simplify right side
    1,681,935.75x = 6,362,426,088,225
  5. Step 5: Solve for x
    x = 6,362,426,088,225/1,681,935.75
  6. Step 6: Final answer
    x = 3,782,799.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.