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Finding the Third Proportional to 839,883.94 and 1,292,699.25

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Solution

The third proportional to 839,883.94 and 1,292,699.25 is: 1,989,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,883.94 : 1,292,699.25 = 1,292,699.25 : x
  2. Step 2: Convert to fraction form
    839,883.94/1,292,699.25 = 1,292,699.25/x
  3. Step 3: Cross multiply
    839,883.94x = 1,292,699.25 × 1,292,699.25
  4. Step 4: Simplify right side
    839,883.94x = 1,671,071,350,950.56
  5. Step 5: Solve for x
    x = 1,671,071,350,950.56/839,883.94
  6. Step 6: Final answer
    x = 1,989,645.56

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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.