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Finding the Third Proportional to 753,924 and 1,638,696

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Solution

The third proportional to 753,924 and 1,638,696 is: 3,561,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,924 : 1,638,696 = 1,638,696 : x
  2. Step 2: Convert to fraction form
    753,924/1,638,696 = 1,638,696/x
  3. Step 3: Cross multiply
    753,924x = 1,638,696 × 1,638,696
  4. Step 4: Simplify right side
    753,924x = 2,685,324,580,416
  5. Step 5: Solve for x
    x = 2,685,324,580,416/753,924
  6. Step 6: Final answer
    x = 3,561,797.45

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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.