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Finding the Third Proportional to 2,106,963 and 4,624,034

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Solution

The third proportional to 2,106,963 and 4,624,034 is: 10,148,109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,963 : 4,624,034 = 4,624,034 : x
  2. Step 2: Convert to fraction form
    2,106,963/4,624,034 = 4,624,034/x
  3. Step 3: Cross multiply
    2,106,963x = 4,624,034 × 4,624,034
  4. Step 4: Simplify right side
    2,106,963x = 21,381,690,433,156
  5. Step 5: Solve for x
    x = 21,381,690,433,156/2,106,963
  6. Step 6: Final answer
    x = 10,148,109.12

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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.