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Finding the Third Proportional to 2,152,606 and 4,647,641

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Solution

The third proportional to 2,152,606 and 4,647,641 is: 10,034,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,606 : 4,647,641 = 4,647,641 : x
  2. Step 2: Convert to fraction form
    2,152,606/4,647,641 = 4,647,641/x
  3. Step 3: Cross multiply
    2,152,606x = 4,647,641 × 4,647,641
  4. Step 4: Simplify right side
    2,152,606x = 21,600,566,864,881
  5. Step 5: Solve for x
    x = 21,600,566,864,881/2,152,606
  6. Step 6: Final answer
    x = 10,034,612.40

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