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Finding the Third Proportional to 747,194 and 1,621,396

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Solution

The third proportional to 747,194 and 1,621,396 is: 3,518,396.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,194 : 1,621,396 = 1,621,396 : x
  2. Step 2: Convert to fraction form
    747,194/1,621,396 = 1,621,396/x
  3. Step 3: Cross multiply
    747,194x = 1,621,396 × 1,621,396
  4. Step 4: Simplify right side
    747,194x = 2,628,924,988,816
  5. Step 5: Solve for x
    x = 2,628,924,988,816/747,194
  6. Step 6: Final answer
    x = 3,518,396.81

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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.