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Finding the Third Proportional to 615,509 and 962,144

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Solution

The third proportional to 615,509 and 962,144 is: 1,503,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,509 : 962,144 = 962,144 : x
  2. Step 2: Convert to fraction form
    615,509/962,144 = 962,144/x
  3. Step 3: Cross multiply
    615,509x = 962,144 × 962,144
  4. Step 4: Simplify right side
    615,509x = 925,721,076,736
  5. Step 5: Solve for x
    x = 925,721,076,736/615,509
  6. Step 6: Final answer
    x = 1,503,992.76

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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.