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Finding the Third Proportional to 746,129 and 1,611,385

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Solution

The third proportional to 746,129 and 1,611,385 is: 3,480,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,129 : 1,611,385 = 1,611,385 : x
  2. Step 2: Convert to fraction form
    746,129/1,611,385 = 1,611,385/x
  3. Step 3: Cross multiply
    746,129x = 1,611,385 × 1,611,385
  4. Step 4: Simplify right side
    746,129x = 2,596,561,618,225
  5. Step 5: Solve for x
    x = 2,596,561,618,225/746,129
  6. Step 6: Final answer
    x = 3,480,043.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.