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Finding the Third Proportional to 787,783.50 and 1,604,443.50

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Solution

The third proportional to 787,783.50 and 1,604,443.50 is: 3,267,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,783.50 : 1,604,443.50 = 1,604,443.50 : x
  2. Step 2: Convert to fraction form
    787,783.50/1,604,443.50 = 1,604,443.50/x
  3. Step 3: Cross multiply
    787,783.50x = 1,604,443.50 × 1,604,443.50
  4. Step 4: Simplify right side
    787,783.50x = 2,574,238,944,692.25
  5. Step 5: Solve for x
    x = 2,574,238,944,692.25/787,783.50
  6. Step 6: Final answer
    x = 3,267,698.48

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.