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Finding the Third Proportional to 2,210,509.50 and 3,515,050.50

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Solution

The third proportional to 2,210,509.50 and 3,515,050.50 is: 5,589,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,509.50 : 3,515,050.50 = 3,515,050.50 : x
  2. Step 2: Convert to fraction form
    2,210,509.50/3,515,050.50 = 3,515,050.50/x
  3. Step 3: Cross multiply
    2,210,509.50x = 3,515,050.50 × 3,515,050.50
  4. Step 4: Simplify right side
    2,210,509.50x = 12,355,580,017,550.25
  5. Step 5: Solve for x
    x = 12,355,580,017,550.25/2,210,509.50
  6. Step 6: Final answer
    x = 5,589,471.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.