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Finding the Third Proportional to 1,207,264 and 2,558,442

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Solution

The third proportional to 1,207,264 and 2,558,442 is: 5,421,867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,264 : 2,558,442 = 2,558,442 : x
  2. Step 2: Convert to fraction form
    1,207,264/2,558,442 = 2,558,442/x
  3. Step 3: Cross multiply
    1,207,264x = 2,558,442 × 2,558,442
  4. Step 4: Simplify right side
    1,207,264x = 6,545,625,467,364
  5. Step 5: Solve for x
    x = 6,545,625,467,364/1,207,264
  6. Step 6: Final answer
    x = 5,421,867.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.