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Finding the Third Proportional to 602,832 and 1,300,311

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Solution

The third proportional to 602,832 and 1,300,311 is: 2,804,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,832 : 1,300,311 = 1,300,311 : x
  2. Step 2: Convert to fraction form
    602,832/1,300,311 = 1,300,311/x
  3. Step 3: Cross multiply
    602,832x = 1,300,311 × 1,300,311
  4. Step 4: Simplify right side
    602,832x = 1,690,808,696,721
  5. Step 5: Solve for x
    x = 1,690,808,696,721/602,832
  6. Step 6: Final answer
    x = 2,804,775.95

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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.