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Finding the Third Proportional to 2,106,692 and 4,668,928

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Solution

The third proportional to 2,106,692 and 4,668,928 is: 10,347,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,692 : 4,668,928 = 4,668,928 : x
  2. Step 2: Convert to fraction form
    2,106,692/4,668,928 = 4,668,928/x
  3. Step 3: Cross multiply
    2,106,692x = 4,668,928 × 4,668,928
  4. Step 4: Simplify right side
    2,106,692x = 21,798,888,669,184
  5. Step 5: Solve for x
    x = 21,798,888,669,184/2,106,692
  6. Step 6: Final answer
    x = 10,347,449.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.