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Finding the Third Proportional to 2,036,409.50 and 3,019,377.25

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Solution

The third proportional to 2,036,409.50 and 3,019,377.25 is: 4,476,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036,409.50 : 3,019,377.25 = 3,019,377.25 : x
  2. Step 2: Convert to fraction form
    2,036,409.50/3,019,377.25 = 3,019,377.25/x
  3. Step 3: Cross multiply
    2,036,409.50x = 3,019,377.25 × 3,019,377.25
  4. Step 4: Simplify right side
    2,036,409.50x = 9,116,638,977,817.56
  5. Step 5: Solve for x
    x = 9,116,638,977,817.56/2,036,409.50
  6. Step 6: Final answer
    x = 4,476,820.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.