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Finding the Third Proportional to 465,000.75 and 972,060.75

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Solution

The third proportional to 465,000.75 and 972,060.75 is: 2,032,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,000.75 : 972,060.75 = 972,060.75 : x
  2. Step 2: Convert to fraction form
    465,000.75/972,060.75 = 972,060.75/x
  3. Step 3: Cross multiply
    465,000.75x = 972,060.75 × 972,060.75
  4. Step 4: Simplify right side
    465,000.75x = 944,902,101,690.56
  5. Step 5: Solve for x
    x = 944,902,101,690.56/465,000.75
  6. Step 6: Final answer
    x = 2,032,044.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.