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Finding the Third Proportional to 784,860 and 1,215,018

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Solution

The third proportional to 784,860 and 1,215,018 is: 1,880,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,860 : 1,215,018 = 1,215,018 : x
  2. Step 2: Convert to fraction form
    784,860/1,215,018 = 1,215,018/x
  3. Step 3: Cross multiply
    784,860x = 1,215,018 × 1,215,018
  4. Step 4: Simplify right side
    784,860x = 1,476,268,740,324
  5. Step 5: Solve for x
    x = 1,476,268,740,324/784,860
  6. Step 6: Final answer
    x = 1,880,932.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.