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Finding the Third Proportional to 2,364,260 and 3,744,314

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Solution

The third proportional to 2,364,260 and 3,744,314 is: 5,929,926.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364,260 : 3,744,314 = 3,744,314 : x
  2. Step 2: Convert to fraction form
    2,364,260/3,744,314 = 3,744,314/x
  3. Step 3: Cross multiply
    2,364,260x = 3,744,314 × 3,744,314
  4. Step 4: Simplify right side
    2,364,260x = 14,019,887,330,596
  5. Step 5: Solve for x
    x = 14,019,887,330,596/2,364,260
  6. Step 6: Final answer
    x = 5,929,926.21

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.