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Finding the Third Proportional to 1,786,512 and 3,893,712

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Solution

The third proportional to 1,786,512 and 3,893,712 is: 8,486,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786,512 : 3,893,712 = 3,893,712 : x
  2. Step 2: Convert to fraction form
    1,786,512/3,893,712 = 3,893,712/x
  3. Step 3: Cross multiply
    1,786,512x = 3,893,712 × 3,893,712
  4. Step 4: Simplify right side
    1,786,512x = 15,160,993,138,944
  5. Step 5: Solve for x
    x = 15,160,993,138,944/1,786,512
  6. Step 6: Final answer
    x = 8,486,365.13

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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.