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Finding the Third Proportional to 1,445,859 and 2,164,414

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Solution

The third proportional to 1,445,859 and 2,164,414 is: 3,240,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445,859 : 2,164,414 = 2,164,414 : x
  2. Step 2: Convert to fraction form
    1,445,859/2,164,414 = 2,164,414/x
  3. Step 3: Cross multiply
    1,445,859x = 2,164,414 × 2,164,414
  4. Step 4: Simplify right side
    1,445,859x = 4,684,687,963,396
  5. Step 5: Solve for x
    x = 4,684,687,963,396/1,445,859
  6. Step 6: Final answer
    x = 3,240,072.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.