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Finding the Third Proportional to 1,461,962 and 2,192,943

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Solution

The third proportional to 1,461,962 and 2,192,943 is: 3,289,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,962 : 2,192,943 = 2,192,943 : x
  2. Step 2: Convert to fraction form
    1,461,962/2,192,943 = 2,192,943/x
  3. Step 3: Cross multiply
    1,461,962x = 2,192,943 × 2,192,943
  4. Step 4: Simplify right side
    1,461,962x = 4,808,999,001,249
  5. Step 5: Solve for x
    x = 4,808,999,001,249/1,461,962
  6. Step 6: Final answer
    x = 3,289,414.50

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.