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Finding the Third Proportional to 2,106,964 and 4,624,039

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Solution

The third proportional to 2,106,964 and 4,624,039 is: 10,148,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,964 : 4,624,039 = 4,624,039 : x
  2. Step 2: Convert to fraction form
    2,106,964/4,624,039 = 4,624,039/x
  3. Step 3: Cross multiply
    2,106,964x = 4,624,039 × 4,624,039
  4. Step 4: Simplify right side
    2,106,964x = 21,381,736,673,521
  5. Step 5: Solve for x
    x = 21,381,736,673,521/2,106,964
  6. Step 6: Final answer
    x = 10,148,126.25

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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.