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Finding the Third Proportional to 3,526,326 and 5,237,649

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Solution

The third proportional to 3,526,326 and 5,237,649 is: 7,779,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526,326 : 5,237,649 = 5,237,649 : x
  2. Step 2: Convert to fraction form
    3,526,326/5,237,649 = 5,237,649/x
  3. Step 3: Cross multiply
    3,526,326x = 5,237,649 × 5,237,649
  4. Step 4: Simplify right side
    3,526,326x = 27,432,967,047,201
  5. Step 5: Solve for x
    x = 27,432,967,047,201/3,526,326
  6. Step 6: Final answer
    x = 7,779,475.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.