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Finding the Third Proportional to 1,658,210 and 2,560,611

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Solution

The third proportional to 1,658,210 and 2,560,611 is: 3,954,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,210 : 2,560,611 = 2,560,611 : x
  2. Step 2: Convert to fraction form
    1,658,210/2,560,611 = 2,560,611/x
  3. Step 3: Cross multiply
    1,658,210x = 2,560,611 × 2,560,611
  4. Step 4: Simplify right side
    1,658,210x = 6,556,728,693,321
  5. Step 5: Solve for x
    x = 6,556,728,693,321/1,658,210
  6. Step 6: Final answer
    x = 3,954,100.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.