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Finding the Third Proportional to 546,208 and 1,192,470

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Solution

The third proportional to 546,208 and 1,192,470 is: 2,603,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,208 : 1,192,470 = 1,192,470 : x
  2. Step 2: Convert to fraction form
    546,208/1,192,470 = 1,192,470/x
  3. Step 3: Cross multiply
    546,208x = 1,192,470 × 1,192,470
  4. Step 4: Simplify right side
    546,208x = 1,421,984,700,900
  5. Step 5: Solve for x
    x = 1,421,984,700,900/546,208
  6. Step 6: Final answer
    x = 2,603,375.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.