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Finding the Third Proportional to 2,069,504 and 3,091,511

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Solution

The third proportional to 2,069,504 and 3,091,511 is: 4,618,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069,504 : 3,091,511 = 3,091,511 : x
  2. Step 2: Convert to fraction form
    2,069,504/3,091,511 = 3,091,511/x
  3. Step 3: Cross multiply
    2,069,504x = 3,091,511 × 3,091,511
  4. Step 4: Simplify right side
    2,069,504x = 9,557,440,263,121
  5. Step 5: Solve for x
    x = 9,557,440,263,121/2,069,504
  6. Step 6: Final answer
    x = 4,618,227.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.