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Finding the Third Proportional to 578,356 and 1,226,696

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Solution

The third proportional to 578,356 and 1,226,696 is: 2,601,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,356 : 1,226,696 = 1,226,696 : x
  2. Step 2: Convert to fraction form
    578,356/1,226,696 = 1,226,696/x
  3. Step 3: Cross multiply
    578,356x = 1,226,696 × 1,226,696
  4. Step 4: Simplify right side
    578,356x = 1,504,783,076,416
  5. Step 5: Solve for x
    x = 1,504,783,076,416/578,356
  6. Step 6: Final answer
    x = 2,601,828.42

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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.