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Finding the Third Proportional to 786,921.75 and 1,685,472.75

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Solution

The third proportional to 786,921.75 and 1,685,472.75 is: 3,610,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,921.75 : 1,685,472.75 = 1,685,472.75 : x
  2. Step 2: Convert to fraction form
    786,921.75/1,685,472.75 = 1,685,472.75/x
  3. Step 3: Cross multiply
    786,921.75x = 1,685,472.75 × 1,685,472.75
  4. Step 4: Simplify right side
    786,921.75x = 2,840,818,390,992.56
  5. Step 5: Solve for x
    x = 2,840,818,390,992.56/786,921.75
  6. Step 6: Final answer
    x = 3,610,039.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.