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Finding the Third Proportional to 857,001 and 1,636,242

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Solution

The third proportional to 857,001 and 1,636,242 is: 3,124,019.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,001 : 1,636,242 = 1,636,242 : x
  2. Step 2: Convert to fraction form
    857,001/1,636,242 = 1,636,242/x
  3. Step 3: Cross multiply
    857,001x = 1,636,242 × 1,636,242
  4. Step 4: Simplify right side
    857,001x = 2,677,287,882,564
  5. Step 5: Solve for x
    x = 2,677,287,882,564/857,001
  6. Step 6: Final answer
    x = 3,124,019.55

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.