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Finding the Third Proportional to 656,415 and 1,450,611

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Solution

The third proportional to 656,415 and 1,450,611 is: 3,205,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,415 : 1,450,611 = 1,450,611 : x
  2. Step 2: Convert to fraction form
    656,415/1,450,611 = 1,450,611/x
  3. Step 3: Cross multiply
    656,415x = 1,450,611 × 1,450,611
  4. Step 4: Simplify right side
    656,415x = 2,104,272,273,321
  5. Step 5: Solve for x
    x = 2,104,272,273,321/656,415
  6. Step 6: Final answer
    x = 3,205,704.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.