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Finding the Third Proportional to 2,214,355.50 and 2,829,451.50

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Solution

The third proportional to 2,214,355.50 and 2,829,451.50 is: 3,615,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,355.50 : 2,829,451.50 = 2,829,451.50 : x
  2. Step 2: Convert to fraction form
    2,214,355.50/2,829,451.50 = 2,829,451.50/x
  3. Step 3: Cross multiply
    2,214,355.50x = 2,829,451.50 × 2,829,451.50
  4. Step 4: Simplify right side
    2,214,355.50x = 8,005,795,790,852.25
  5. Step 5: Solve for x
    x = 8,005,795,790,852.25/2,214,355.50
  6. Step 6: Final answer
    x = 3,615,406.74

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.