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Finding the Third Proportional to 786,921.75 and 1,629,810

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Solution

The third proportional to 786,921.75 and 1,629,810 is: 3,375,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,921.75 : 1,629,810 = 1,629,810 : x
  2. Step 2: Convert to fraction form
    786,921.75/1,629,810 = 1,629,810/x
  3. Step 3: Cross multiply
    786,921.75x = 1,629,810 × 1,629,810
  4. Step 4: Simplify right side
    786,921.75x = 2,656,280,636,100
  5. Step 5: Solve for x
    x = 2,656,280,636,100/786,921.75
  6. Step 6: Final answer
    x = 3,375,533.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.