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Finding the Third Proportional to 746,407 and 1,599,301

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Solution

The third proportional to 746,407 and 1,599,301 is: 3,426,768.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,407 : 1,599,301 = 1,599,301 : x
  2. Step 2: Convert to fraction form
    746,407/1,599,301 = 1,599,301/x
  3. Step 3: Cross multiply
    746,407x = 1,599,301 × 1,599,301
  4. Step 4: Simplify right side
    746,407x = 2,557,763,688,601
  5. Step 5: Solve for x
    x = 2,557,763,688,601/746,407
  6. Step 6: Final answer
    x = 3,426,768.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.