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Finding the Third Proportional to 615,600 and 925,182

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Solution

The third proportional to 615,600 and 925,182 is: 1,390,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,600 : 925,182 = 925,182 : x
  2. Step 2: Convert to fraction form
    615,600/925,182 = 925,182/x
  3. Step 3: Cross multiply
    615,600x = 925,182 × 925,182
  4. Step 4: Simplify right side
    615,600x = 855,961,733,124
  5. Step 5: Solve for x
    x = 855,961,733,124/615,600
  6. Step 6: Final answer
    x = 1,390,451.16

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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.