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Finding the Third Proportional to 2,855,702.25 and 6,232,311

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Solution

The third proportional to 2,855,702.25 and 6,232,311 is: 13,601,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855,702.25 : 6,232,311 = 6,232,311 : x
  2. Step 2: Convert to fraction form
    2,855,702.25/6,232,311 = 6,232,311/x
  3. Step 3: Cross multiply
    2,855,702.25x = 6,232,311 × 6,232,311
  4. Step 4: Simplify right side
    2,855,702.25x = 38,841,700,400,721
  5. Step 5: Solve for x
    x = 38,841,700,400,721/2,855,702.25
  6. Step 6: Final answer
    x = 13,601,453.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.