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Finding the Third Proportional to 615,616 and 925,208

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Solution

The third proportional to 615,616 and 925,208 is: 1,390,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,616 : 925,208 = 925,208 : x
  2. Step 2: Convert to fraction form
    615,616/925,208 = 925,208/x
  3. Step 3: Cross multiply
    615,616x = 925,208 × 925,208
  4. Step 4: Simplify right side
    615,616x = 856,009,843,264
  5. Step 5: Solve for x
    x = 856,009,843,264/615,616
  6. Step 6: Final answer
    x = 1,390,493.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.