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Finding the Third Proportional to 997,707.75 and 2,261,763.75

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Solution

The third proportional to 997,707.75 and 2,261,763.75 is: 5,127,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,707.75 : 2,261,763.75 = 2,261,763.75 : x
  2. Step 2: Convert to fraction form
    997,707.75/2,261,763.75 = 2,261,763.75/x
  3. Step 3: Cross multiply
    997,707.75x = 2,261,763.75 × 2,261,763.75
  4. Step 4: Simplify right side
    997,707.75x = 5,115,575,260,814.06
  5. Step 5: Solve for x
    x = 5,115,575,260,814.06/997,707.75
  6. Step 6: Final answer
    x = 5,127,328.38

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.