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Finding the Third Proportional to 2,160,599 and 4,719,839

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Solution

The third proportional to 2,160,599 and 4,719,839 is: 10,310,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,599 : 4,719,839 = 4,719,839 : x
  2. Step 2: Convert to fraction form
    2,160,599/4,719,839 = 4,719,839/x
  3. Step 3: Cross multiply
    2,160,599x = 4,719,839 × 4,719,839
  4. Step 4: Simplify right side
    2,160,599x = 22,276,880,185,921
  5. Step 5: Solve for x
    x = 22,276,880,185,921/2,160,599
  6. Step 6: Final answer
    x = 10,310,511.20

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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.