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Finding the Third Proportional to 1,655,286.75 and 3,698,082

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Solution

The third proportional to 1,655,286.75 and 3,698,082 is: 8,261,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655,286.75 : 3,698,082 = 3,698,082 : x
  2. Step 2: Convert to fraction form
    1,655,286.75/3,698,082 = 3,698,082/x
  3. Step 3: Cross multiply
    1,655,286.75x = 3,698,082 × 3,698,082
  4. Step 4: Simplify right side
    1,655,286.75x = 13,675,810,478,724
  5. Step 5: Solve for x
    x = 13,675,810,478,724/1,655,286.75
  6. Step 6: Final answer
    x = 8,261,898.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.