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Finding the Third Proportional to 387,128 and 833,581

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Solution

The third proportional to 387,128 and 833,581 is: 1,794,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,128 : 833,581 = 833,581 : x
  2. Step 2: Convert to fraction form
    387,128/833,581 = 833,581/x
  3. Step 3: Cross multiply
    387,128x = 833,581 × 833,581
  4. Step 4: Simplify right side
    387,128x = 694,857,283,561
  5. Step 5: Solve for x
    x = 694,857,283,561/387,128
  6. Step 6: Final answer
    x = 1,794,903.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.