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Finding the Third Proportional to 2,852,511 and 6,342,806

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Solution

The third proportional to 2,852,511 and 6,342,806 is: 14,103,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852,511 : 6,342,806 = 6,342,806 : x
  2. Step 2: Convert to fraction form
    2,852,511/6,342,806 = 6,342,806/x
  3. Step 3: Cross multiply
    2,852,511x = 6,342,806 × 6,342,806
  4. Step 4: Simplify right side
    2,852,511x = 40,231,187,953,636
  5. Step 5: Solve for x
    x = 40,231,187,953,636/2,852,511
  6. Step 6: Final answer
    x = 14,103,780.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.