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Finding the Third Proportional to 1,605,665 and 2,201,724

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Solution

The third proportional to 1,605,665 and 2,201,724 is: 3,019,053.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,665 : 2,201,724 = 2,201,724 : x
  2. Step 2: Convert to fraction form
    1,605,665/2,201,724 = 2,201,724/x
  3. Step 3: Cross multiply
    1,605,665x = 2,201,724 × 2,201,724
  4. Step 4: Simplify right side
    1,605,665x = 4,847,588,572,176
  5. Step 5: Solve for x
    x = 4,847,588,572,176/1,605,665
  6. Step 6: Final answer
    x = 3,019,053.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.