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Finding the Third Proportional to 946,170 and 1,415,337

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Solution

The third proportional to 946,170 and 1,415,337 is: 2,117,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,170 : 1,415,337 = 1,415,337 : x
  2. Step 2: Convert to fraction form
    946,170/1,415,337 = 1,415,337/x
  3. Step 3: Cross multiply
    946,170x = 1,415,337 × 1,415,337
  4. Step 4: Simplify right side
    946,170x = 2,003,178,823,569
  5. Step 5: Solve for x
    x = 2,003,178,823,569/946,170
  6. Step 6: Final answer
    x = 2,117,144.72

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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.