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Finding the Third Proportional to 2,105,777 and 3,234,730

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Solution

The third proportional to 2,105,777 and 3,234,730 is: 4,968,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,777 : 3,234,730 = 3,234,730 : x
  2. Step 2: Convert to fraction form
    2,105,777/3,234,730 = 3,234,730/x
  3. Step 3: Cross multiply
    2,105,777x = 3,234,730 × 3,234,730
  4. Step 4: Simplify right side
    2,105,777x = 10,463,478,172,900
  5. Step 5: Solve for x
    x = 10,463,478,172,900/2,105,777
  6. Step 6: Final answer
    x = 4,968,939.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.