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Finding the Third Proportional to 661,640.63 and 1,435,285.13

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Solution

The third proportional to 661,640.63 and 1,435,285.13 is: 3,113,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,640.63 : 1,435,285.13 = 1,435,285.13 : x
  2. Step 2: Convert to fraction form
    661,640.63/1,435,285.13 = 1,435,285.13/x
  3. Step 3: Cross multiply
    661,640.63x = 1,435,285.13 × 1,435,285.13
  4. Step 4: Simplify right side
    661,640.63x = 2,060,043,390,046.27
  5. Step 5: Solve for x
    x = 2,060,043,390,046.27/661,640.63
  6. Step 6: Final answer
    x = 3,113,538.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.