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Finding the Third Proportional to 2,475,538.50 and 3,786,820.50

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Solution

The third proportional to 2,475,538.50 and 3,786,820.50 is: 5,792,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475,538.50 : 3,786,820.50 = 3,786,820.50 : x
  2. Step 2: Convert to fraction form
    2,475,538.50/3,786,820.50 = 3,786,820.50/x
  3. Step 3: Cross multiply
    2,475,538.50x = 3,786,820.50 × 3,786,820.50
  4. Step 4: Simplify right side
    2,475,538.50x = 14,340,009,499,220.25
  5. Step 5: Solve for x
    x = 14,340,009,499,220.25/2,475,538.50
  6. Step 6: Final answer
    x = 5,792,682.88

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.