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Finding the Third Proportional to 646,625 and 1,311,688

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Solution

The third proportional to 646,625 and 1,311,688 is: 2,660,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,625 : 1,311,688 = 1,311,688 : x
  2. Step 2: Convert to fraction form
    646,625/1,311,688 = 1,311,688/x
  3. Step 3: Cross multiply
    646,625x = 1,311,688 × 1,311,688
  4. Step 4: Simplify right side
    646,625x = 1,720,525,409,344
  5. Step 5: Solve for x
    x = 1,720,525,409,344/646,625
  6. Step 6: Final answer
    x = 2,660,777.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.