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Finding the Third Proportional to 712,176.05 and 1,474,225.95

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Solution

The third proportional to 712,176.05 and 1,474,225.95 is: 3,051,692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,176.05 : 1,474,225.95 = 1,474,225.95 : x
  2. Step 2: Convert to fraction form
    712,176.05/1,474,225.95 = 1,474,225.95/x
  3. Step 3: Cross multiply
    712,176.05x = 1,474,225.95 × 1,474,225.95
  4. Step 4: Simplify right side
    712,176.05x = 2,173,342,137,832.53
  5. Step 5: Solve for x
    x = 2,173,342,137,832.53/712,176.05
  6. Step 6: Final answer
    x = 3,051,692.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.