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Finding the Third Proportional to 938,049 and 1,552,557

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Solution

The third proportional to 938,049 and 1,552,557 is: 2,569,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,049 : 1,552,557 = 1,552,557 : x
  2. Step 2: Convert to fraction form
    938,049/1,552,557 = 1,552,557/x
  3. Step 3: Cross multiply
    938,049x = 1,552,557 × 1,552,557
  4. Step 4: Simplify right side
    938,049x = 2,410,433,238,249
  5. Step 5: Solve for x
    x = 2,410,433,238,249/938,049
  6. Step 6: Final answer
    x = 2,569,624.02

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.