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Finding the Third Proportional to 945,424 and 1,418,820

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Solution

The third proportional to 945,424 and 1,418,820 is: 2,129,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,424 : 1,418,820 = 1,418,820 : x
  2. Step 2: Convert to fraction form
    945,424/1,418,820 = 1,418,820/x
  3. Step 3: Cross multiply
    945,424x = 1,418,820 × 1,418,820
  4. Step 4: Simplify right side
    945,424x = 2,013,050,192,400
  5. Step 5: Solve for x
    x = 2,013,050,192,400/945,424
  6. Step 6: Final answer
    x = 2,129,256.49

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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.