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Finding the Third Proportional to 387,105 and 835,446

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Solution

The third proportional to 387,105 and 835,446 is: 1,803,050.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,105 : 835,446 = 835,446 : x
  2. Step 2: Convert to fraction form
    387,105/835,446 = 835,446/x
  3. Step 3: Cross multiply
    387,105x = 835,446 × 835,446
  4. Step 4: Simplify right side
    387,105x = 697,970,018,916
  5. Step 5: Solve for x
    x = 697,970,018,916/387,105
  6. Step 6: Final answer
    x = 1,803,050.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.