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Finding the Third Proportional to 385,636 and 835,628

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Solution

The third proportional to 385,636 and 835,628 is: 1,810,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,636 : 835,628 = 835,628 : x
  2. Step 2: Convert to fraction form
    385,636/835,628 = 835,628/x
  3. Step 3: Cross multiply
    385,636x = 835,628 × 835,628
  4. Step 4: Simplify right side
    385,636x = 698,274,154,384
  5. Step 5: Solve for x
    x = 698,274,154,384/385,636
  6. Step 6: Final answer
    x = 1,810,707.91

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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.