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Finding the Third Proportional to 2,031,065 and 4,411,762

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Solution

The third proportional to 2,031,065 and 4,411,762 is: 9,582,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,065 : 4,411,762 = 4,411,762 : x
  2. Step 2: Convert to fraction form
    2,031,065/4,411,762 = 4,411,762/x
  3. Step 3: Cross multiply
    2,031,065x = 4,411,762 × 4,411,762
  4. Step 4: Simplify right side
    2,031,065x = 19,463,643,944,644
  5. Step 5: Solve for x
    x = 19,463,643,944,644/2,031,065
  6. Step 6: Final answer
    x = 9,582,974.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.