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Finding the Third Proportional to 1,511,509 and 2,259,199.50

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Solution

The third proportional to 1,511,509 and 2,259,199.50 is: 3,376,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511,509 : 2,259,199.50 = 2,259,199.50 : x
  2. Step 2: Convert to fraction form
    1,511,509/2,259,199.50 = 2,259,199.50/x
  3. Step 3: Cross multiply
    1,511,509x = 2,259,199.50 × 2,259,199.50
  4. Step 4: Simplify right side
    1,511,509x = 5,103,982,380,800.25
  5. Step 5: Solve for x
    x = 5,103,982,380,800.25/1,511,509
  6. Step 6: Final answer
    x = 3,376,746.27

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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.