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Finding the Third Proportional to 945,657 and 2,101,266

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Solution

The third proportional to 945,657 and 2,101,266 is: 4,669,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,657 : 2,101,266 = 2,101,266 : x
  2. Step 2: Convert to fraction form
    945,657/2,101,266 = 2,101,266/x
  3. Step 3: Cross multiply
    945,657x = 2,101,266 × 2,101,266
  4. Step 4: Simplify right side
    945,657x = 4,415,318,802,756
  5. Step 5: Solve for x
    x = 4,415,318,802,756/945,657
  6. Step 6: Final answer
    x = 4,669,048.93

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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.