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Finding the Third Proportional to 688,186 and 1,036,257

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Solution

The third proportional to 688,186 and 1,036,257 is: 1,560,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,186 : 1,036,257 = 1,036,257 : x
  2. Step 2: Convert to fraction form
    688,186/1,036,257 = 1,036,257/x
  3. Step 3: Cross multiply
    688,186x = 1,036,257 × 1,036,257
  4. Step 4: Simplify right side
    688,186x = 1,073,828,570,049
  5. Step 5: Solve for x
    x = 1,073,828,570,049/688,186
  6. Step 6: Final answer
    x = 1,560,375.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.