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Finding the Third Proportional to 945,486 and 1,414,908

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Solution

The third proportional to 945,486 and 1,414,908 is: 2,117,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,486 : 1,414,908 = 1,414,908 : x
  2. Step 2: Convert to fraction form
    945,486/1,414,908 = 1,414,908/x
  3. Step 3: Cross multiply
    945,486x = 1,414,908 × 1,414,908
  4. Step 4: Simplify right side
    945,486x = 2,001,964,648,464
  5. Step 5: Solve for x
    x = 2,001,964,648,464/945,486
  6. Step 6: Final answer
    x = 2,117,392.16

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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.