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Finding the Third Proportional to 578,358 and 1,226,698

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Solution

The third proportional to 578,358 and 1,226,698 is: 2,601,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,358 : 1,226,698 = 1,226,698 : x
  2. Step 2: Convert to fraction form
    578,358/1,226,698 = 1,226,698/x
  3. Step 3: Cross multiply
    578,358x = 1,226,698 × 1,226,698
  4. Step 4: Simplify right side
    578,358x = 1,504,787,983,204
  5. Step 5: Solve for x
    x = 1,504,787,983,204/578,358
  6. Step 6: Final answer
    x = 2,601,827.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.