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Finding the Third Proportional to 1,571,238 and 2,510,433

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Solution

The third proportional to 1,571,238 and 2,510,433 is: 4,011,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,238 : 2,510,433 = 2,510,433 : x
  2. Step 2: Convert to fraction form
    1,571,238/2,510,433 = 2,510,433/x
  3. Step 3: Cross multiply
    1,571,238x = 2,510,433 × 2,510,433
  4. Step 4: Simplify right side
    1,571,238x = 6,302,273,847,489
  5. Step 5: Solve for x
    x = 6,302,273,847,489/1,571,238
  6. Step 6: Final answer
    x = 4,011,024.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.