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Finding the Third Proportional to 1,449,396 and 2,131,470

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Solution

The third proportional to 1,449,396 and 2,131,470 is: 3,134,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,396 : 2,131,470 = 2,131,470 : x
  2. Step 2: Convert to fraction form
    1,449,396/2,131,470 = 2,131,470/x
  3. Step 3: Cross multiply
    1,449,396x = 2,131,470 × 2,131,470
  4. Step 4: Simplify right side
    1,449,396x = 4,543,164,360,900
  5. Step 5: Solve for x
    x = 4,543,164,360,900/1,449,396
  6. Step 6: Final answer
    x = 3,134,522.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.