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Finding the Third Proportional to 615,504 and 962,136

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Solution

The third proportional to 615,504 and 962,136 is: 1,503,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,504 : 962,136 = 962,136 : x
  2. Step 2: Convert to fraction form
    615,504/962,136 = 962,136/x
  3. Step 3: Cross multiply
    615,504x = 962,136 × 962,136
  4. Step 4: Simplify right side
    615,504x = 925,705,682,496
  5. Step 5: Solve for x
    x = 925,705,682,496/615,504
  6. Step 6: Final answer
    x = 1,503,979.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.