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Finding the Third Proportional to 4,660,263 and 6,296,305

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Solution

The third proportional to 4,660,263 and 6,296,305 is: 8,506,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660,263 : 6,296,305 = 6,296,305 : x
  2. Step 2: Convert to fraction form
    4,660,263/6,296,305 = 6,296,305/x
  3. Step 3: Cross multiply
    4,660,263x = 6,296,305 × 6,296,305
  4. Step 4: Simplify right side
    4,660,263x = 39,643,456,653,025
  5. Step 5: Solve for x
    x = 39,643,456,653,025/4,660,263
  6. Step 6: Final answer
    x = 8,506,699.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.