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Finding the Third Proportional to 1,765,828 and 3,811,430

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Solution

The third proportional to 1,765,828 and 3,811,430 is: 8,226,734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,828 : 3,811,430 = 3,811,430 : x
  2. Step 2: Convert to fraction form
    1,765,828/3,811,430 = 3,811,430/x
  3. Step 3: Cross multiply
    1,765,828x = 3,811,430 × 3,811,430
  4. Step 4: Simplify right side
    1,765,828x = 14,526,998,644,900
  5. Step 5: Solve for x
    x = 14,526,998,644,900/1,765,828
  6. Step 6: Final answer
    x = 8,226,734.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.