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Finding the Third Proportional to 1,721,864 and 3,753,724

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Solution

The third proportional to 1,721,864 and 3,753,724 is: 8,183,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721,864 : 3,753,724 = 3,753,724 : x
  2. Step 2: Convert to fraction form
    1,721,864/3,753,724 = 3,753,724/x
  3. Step 3: Cross multiply
    1,721,864x = 3,753,724 × 3,753,724
  4. Step 4: Simplify right side
    1,721,864x = 14,090,443,868,176
  5. Step 5: Solve for x
    x = 14,090,443,868,176/1,721,864
  6. Step 6: Final answer
    x = 8,183,250.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.