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Finding the Third Proportional to 2,278,502 and 5,378,633

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Solution

The third proportional to 2,278,502 and 5,378,633 is: 12,696,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278,502 : 5,378,633 = 5,378,633 : x
  2. Step 2: Convert to fraction form
    2,278,502/5,378,633 = 5,378,633/x
  3. Step 3: Cross multiply
    2,278,502x = 5,378,633 × 5,378,633
  4. Step 4: Simplify right side
    2,278,502x = 28,929,692,948,689
  5. Step 5: Solve for x
    x = 28,929,692,948,689/2,278,502
  6. Step 6: Final answer
    x = 12,696,803.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.