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Finding the Third Proportional to 676,622 and 1,602,941

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Solution

The third proportional to 676,622 and 1,602,941 is: 3,797,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,622 : 1,602,941 = 1,602,941 : x
  2. Step 2: Convert to fraction form
    676,622/1,602,941 = 1,602,941/x
  3. Step 3: Cross multiply
    676,622x = 1,602,941 × 1,602,941
  4. Step 4: Simplify right side
    676,622x = 2,569,419,849,481
  5. Step 5: Solve for x
    x = 2,569,419,849,481/676,622
  6. Step 6: Final answer
    x = 3,797,422.86

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.