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Finding the Third Proportional to 2,596,362 and 5,649,895

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Solution

The third proportional to 2,596,362 and 5,649,895 is: 12,294,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596,362 : 5,649,895 = 5,649,895 : x
  2. Step 2: Convert to fraction form
    2,596,362/5,649,895 = 5,649,895/x
  3. Step 3: Cross multiply
    2,596,362x = 5,649,895 × 5,649,895
  4. Step 4: Simplify right side
    2,596,362x = 31,921,313,511,025
  5. Step 5: Solve for x
    x = 31,921,313,511,025/2,596,362
  6. Step 6: Final answer
    x = 12,294,631.30

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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.