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Finding the Third Proportional to 2,596,340 and 5,649,852

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Solution

The third proportional to 2,596,340 and 5,649,852 is: 12,294,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596,340 : 5,649,852 = 5,649,852 : x
  2. Step 2: Convert to fraction form
    2,596,340/5,649,852 = 5,649,852/x
  3. Step 3: Cross multiply
    2,596,340x = 5,649,852 × 5,649,852
  4. Step 4: Simplify right side
    2,596,340x = 31,920,827,621,904
  5. Step 5: Solve for x
    x = 31,920,827,621,904/2,596,340
  6. Step 6: Final answer
    x = 12,294,548.33

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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.