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Finding the Third Proportional to 1,617,570 and 2,146,419

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Solution

The third proportional to 1,617,570 and 2,146,419 is: 2,848,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,570 : 2,146,419 = 2,146,419 : x
  2. Step 2: Convert to fraction form
    1,617,570/2,146,419 = 2,146,419/x
  3. Step 3: Cross multiply
    1,617,570x = 2,146,419 × 2,146,419
  4. Step 4: Simplify right side
    1,617,570x = 4,607,114,523,561
  5. Step 5: Solve for x
    x = 4,607,114,523,561/1,617,570
  6. Step 6: Final answer
    x = 2,848,170.11

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.