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Finding the Third Proportional to 579,314 and 1,211,590

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Solution

The third proportional to 579,314 and 1,211,590 is: 2,533,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,314 : 1,211,590 = 1,211,590 : x
  2. Step 2: Convert to fraction form
    579,314/1,211,590 = 1,211,590/x
  3. Step 3: Cross multiply
    579,314x = 1,211,590 × 1,211,590
  4. Step 4: Simplify right side
    579,314x = 1,467,950,328,100
  5. Step 5: Solve for x
    x = 1,467,950,328,100/579,314
  6. Step 6: Final answer
    x = 2,533,945.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.