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Finding the Third Proportional to 590,775 and 1,296,428.25

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Solution

The third proportional to 590,775 and 1,296,428.25 is: 2,844,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,775 : 1,296,428.25 = 1,296,428.25 : x
  2. Step 2: Convert to fraction form
    590,775/1,296,428.25 = 1,296,428.25/x
  3. Step 3: Cross multiply
    590,775x = 1,296,428.25 × 1,296,428.25
  4. Step 4: Simplify right side
    590,775x = 1,680,726,207,398.06
  5. Step 5: Solve for x
    x = 1,680,726,207,398.06/590,775
  6. Step 6: Final answer
    x = 2,844,951.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.