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Finding the Third Proportional to 746,127 and 1,611,381

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Solution

The third proportional to 746,127 and 1,611,381 is: 3,480,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,127 : 1,611,381 = 1,611,381 : x
  2. Step 2: Convert to fraction form
    746,127/1,611,381 = 1,611,381/x
  3. Step 3: Cross multiply
    746,127x = 1,611,381 × 1,611,381
  4. Step 4: Simplify right side
    746,127x = 2,596,548,727,161
  5. Step 5: Solve for x
    x = 2,596,548,727,161/746,127
  6. Step 6: Final answer
    x = 3,480,035.87

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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.