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Finding the Third Proportional to 784,872 and 1,215,036

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Solution

The third proportional to 784,872 and 1,215,036 is: 1,880,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,872 : 1,215,036 = 1,215,036 : x
  2. Step 2: Convert to fraction form
    784,872/1,215,036 = 1,215,036/x
  3. Step 3: Cross multiply
    784,872x = 1,215,036 × 1,215,036
  4. Step 4: Simplify right side
    784,872x = 1,476,312,481,296
  5. Step 5: Solve for x
    x = 1,476,312,481,296/784,872
  6. Step 6: Final answer
    x = 1,880,959.55

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Why These Related Problems?

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