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Finding the Third Proportional to 3,433,692.94 and 5,314,339.13

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Solution

The third proportional to 3,433,692.94 and 5,314,339.13 is: 8,225,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,692.94 : 5,314,339.13 = 5,314,339.13 : x
  2. Step 2: Convert to fraction form
    3,433,692.94/5,314,339.13 = 5,314,339.13/x
  3. Step 3: Cross multiply
    3,433,692.94x = 5,314,339.13 × 5,314,339.13
  4. Step 4: Simplify right side
    3,433,692.94x = 28,242,200,335,505.77
  5. Step 5: Solve for x
    x = 28,242,200,335,505.77/3,433,692.94
  6. Step 6: Final answer
    x = 8,225,022.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.