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Finding the Third Proportional to 2,102,388 and 4,611,720

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Solution

The third proportional to 2,102,388 and 4,611,720 is: 10,116,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,388 : 4,611,720 = 4,611,720 : x
  2. Step 2: Convert to fraction form
    2,102,388/4,611,720 = 4,611,720/x
  3. Step 3: Cross multiply
    2,102,388x = 4,611,720 × 4,611,720
  4. Step 4: Simplify right side
    2,102,388x = 21,267,961,358,400
  5. Step 5: Solve for x
    x = 21,267,961,358,400/2,102,388
  6. Step 6: Final answer
    x = 10,116,097.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.