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Finding the Third Proportional to 1,960,605 and 4,307,823

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Solution

The third proportional to 1,960,605 and 4,307,823 is: 9,465,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960,605 : 4,307,823 = 4,307,823 : x
  2. Step 2: Convert to fraction form
    1,960,605/4,307,823 = 4,307,823/x
  3. Step 3: Cross multiply
    1,960,605x = 4,307,823 × 4,307,823
  4. Step 4: Simplify right side
    1,960,605x = 18,557,338,999,329
  5. Step 5: Solve for x
    x = 18,557,338,999,329/1,960,605
  6. Step 6: Final answer
    x = 9,465,108.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.