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Finding the Third Proportional to 945,420 and 1,418,814

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Solution

The third proportional to 945,420 and 1,418,814 is: 2,129,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,420 : 1,418,814 = 1,418,814 : x
  2. Step 2: Convert to fraction form
    945,420/1,418,814 = 1,418,814/x
  3. Step 3: Cross multiply
    945,420x = 1,418,814 × 1,418,814
  4. Step 4: Simplify right side
    945,420x = 2,013,033,166,596
  5. Step 5: Solve for x
    x = 2,013,033,166,596/945,420
  6. Step 6: Final answer
    x = 2,129,247.49

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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.