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Finding the Third Proportional to 2,156,641 and 4,616,230

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Solution

The third proportional to 2,156,641 and 4,616,230 is: 9,880,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156,641 : 4,616,230 = 4,616,230 : x
  2. Step 2: Convert to fraction form
    2,156,641/4,616,230 = 4,616,230/x
  3. Step 3: Cross multiply
    2,156,641x = 4,616,230 × 4,616,230
  4. Step 4: Simplify right side
    2,156,641x = 21,309,579,412,900
  5. Step 5: Solve for x
    x = 21,309,579,412,900/2,156,641
  6. Step 6: Final answer
    x = 9,880,911.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.