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Finding the Third Proportional to 2,262,340 and 4,878,920

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Solution

The third proportional to 2,262,340 and 4,878,920 is: 10,521,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262,340 : 4,878,920 = 4,878,920 : x
  2. Step 2: Convert to fraction form
    2,262,340/4,878,920 = 4,878,920/x
  3. Step 3: Cross multiply
    2,262,340x = 4,878,920 × 4,878,920
  4. Step 4: Simplify right side
    2,262,340x = 23,803,860,366,400
  5. Step 5: Solve for x
    x = 23,803,860,366,400/2,262,340
  6. Step 6: Final answer
    x = 10,521,787.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.