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Finding the Third Proportional to 857,723 and 1,829,444

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Solution

The third proportional to 857,723 and 1,829,444 is: 3,902,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,723 : 1,829,444 = 1,829,444 : x
  2. Step 2: Convert to fraction form
    857,723/1,829,444 = 1,829,444/x
  3. Step 3: Cross multiply
    857,723x = 1,829,444 × 1,829,444
  4. Step 4: Simplify right side
    857,723x = 3,346,865,349,136
  5. Step 5: Solve for x
    x = 3,346,865,349,136/857,723
  6. Step 6: Final answer
    x = 3,902,035.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.