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Finding the Third Proportional to 1,730,472.75 and 3,786,777

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Solution

The third proportional to 1,730,472.75 and 3,786,777 is: 8,286,567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730,472.75 : 3,786,777 = 3,786,777 : x
  2. Step 2: Convert to fraction form
    1,730,472.75/3,786,777 = 3,786,777/x
  3. Step 3: Cross multiply
    1,730,472.75x = 3,786,777 × 3,786,777
  4. Step 4: Simplify right side
    1,730,472.75x = 14,339,680,047,729
  5. Step 5: Solve for x
    x = 14,339,680,047,729/1,730,472.75
  6. Step 6: Final answer
    x = 8,286,567.96

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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.