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Finding the Third Proportional to 2,091,774 and 4,418,556

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Solution

The third proportional to 2,091,774 and 4,418,556 is: 9,333,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,774 : 4,418,556 = 4,418,556 : x
  2. Step 2: Convert to fraction form
    2,091,774/4,418,556 = 4,418,556/x
  3. Step 3: Cross multiply
    2,091,774x = 4,418,556 × 4,418,556
  4. Step 4: Simplify right side
    2,091,774x = 19,523,637,125,136
  5. Step 5: Solve for x
    x = 19,523,637,125,136/2,091,774
  6. Step 6: Final answer
    x = 9,333,530.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.