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Finding the Third Proportional to 841,674.38 and 1,305,932.63

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Solution

The third proportional to 841,674.38 and 1,305,932.63 is: 2,026,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,674.38 : 1,305,932.63 = 1,305,932.63 : x
  2. Step 2: Convert to fraction form
    841,674.38/1,305,932.63 = 1,305,932.63/x
  3. Step 3: Cross multiply
    841,674.38x = 1,305,932.63 × 1,305,932.63
  4. Step 4: Simplify right side
    841,674.38x = 1,705,460,021,039.39
  5. Step 5: Solve for x
    x = 1,705,460,021,039.39/841,674.38
  6. Step 6: Final answer
    x = 2,026,270.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.