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Finding the Third Proportional to 857,718 and 1,864,836

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Solution

The third proportional to 857,718 and 1,864,836 is: 4,054,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,718 : 1,864,836 = 1,864,836 : x
  2. Step 2: Convert to fraction form
    857,718/1,864,836 = 1,864,836/x
  3. Step 3: Cross multiply
    857,718x = 1,864,836 × 1,864,836
  4. Step 4: Simplify right side
    857,718x = 3,477,613,306,896
  5. Step 5: Solve for x
    x = 3,477,613,306,896/857,718
  6. Step 6: Final answer
    x = 4,054,494.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.