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Finding the Third Proportional to 857,703 and 1,833,443

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Solution

The third proportional to 857,703 and 1,833,443 is: 3,919,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,703 : 1,833,443 = 1,833,443 : x
  2. Step 2: Convert to fraction form
    857,703/1,833,443 = 1,833,443/x
  3. Step 3: Cross multiply
    857,703x = 1,833,443 × 1,833,443
  4. Step 4: Simplify right side
    857,703x = 3,361,513,234,249
  5. Step 5: Solve for x
    x = 3,361,513,234,249/857,703
  6. Step 6: Final answer
    x = 3,919,204.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.