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Finding the Third Proportional to 615,602 and 925,185

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Solution

The third proportional to 615,602 and 925,185 is: 1,390,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,602 : 925,185 = 925,185 : x
  2. Step 2: Convert to fraction form
    615,602/925,185 = 925,185/x
  3. Step 3: Cross multiply
    615,602x = 925,185 × 925,185
  4. Step 4: Simplify right side
    615,602x = 855,967,284,225
  5. Step 5: Solve for x
    x = 855,967,284,225/615,602
  6. Step 6: Final answer
    x = 1,390,455.66

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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.