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Finding the Third Proportional to 647,264 and 1,376,176

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Solution

The third proportional to 647,264 and 1,376,176 is: 2,925,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,264 : 1,376,176 = 1,376,176 : x
  2. Step 2: Convert to fraction form
    647,264/1,376,176 = 1,376,176/x
  3. Step 3: Cross multiply
    647,264x = 1,376,176 × 1,376,176
  4. Step 4: Simplify right side
    647,264x = 1,893,860,382,976
  5. Step 5: Solve for x
    x = 1,893,860,382,976/647,264
  6. Step 6: Final answer
    x = 2,925,947.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.