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Finding the Third Proportional to 568,460 and 1,215,679

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Solution

The third proportional to 568,460 and 1,215,679 is: 2,599,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,460 : 1,215,679 = 1,215,679 : x
  2. Step 2: Convert to fraction form
    568,460/1,215,679 = 1,215,679/x
  3. Step 3: Cross multiply
    568,460x = 1,215,679 × 1,215,679
  4. Step 4: Simplify right side
    568,460x = 1,477,875,431,041
  5. Step 5: Solve for x
    x = 1,477,875,431,041/568,460
  6. Step 6: Final answer
    x = 2,599,787.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.