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Finding the Third Proportional to 648,735.75 and 1,393,426.13

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Solution

The third proportional to 648,735.75 and 1,393,426.13 is: 2,992,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,735.75 : 1,393,426.13 = 1,393,426.13 : x
  2. Step 2: Convert to fraction form
    648,735.75/1,393,426.13 = 1,393,426.13/x
  3. Step 3: Cross multiply
    648,735.75x = 1,393,426.13 × 1,393,426.13
  4. Step 4: Simplify right side
    648,735.75x = 1,941,636,365,832.52
  5. Step 5: Solve for x
    x = 1,941,636,365,832.52/648,735.75
  6. Step 6: Final answer
    x = 2,992,954.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.