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Finding the Third Proportional to 1,601,019 and 2,476,342

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Solution

The third proportional to 1,601,019 and 2,476,342 is: 3,830,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,019 : 2,476,342 = 2,476,342 : x
  2. Step 2: Convert to fraction form
    1,601,019/2,476,342 = 2,476,342/x
  3. Step 3: Cross multiply
    1,601,019x = 2,476,342 × 2,476,342
  4. Step 4: Simplify right side
    1,601,019x = 6,132,269,700,964
  5. Step 5: Solve for x
    x = 6,132,269,700,964/1,601,019
  6. Step 6: Final answer
    x = 3,830,229.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.