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Finding the Third Proportional to 669,429.50 and 1,471,702.50

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Solution

The third proportional to 669,429.50 and 1,471,702.50 is: 3,235,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,429.50 : 1,471,702.50 = 1,471,702.50 : x
  2. Step 2: Convert to fraction form
    669,429.50/1,471,702.50 = 1,471,702.50/x
  3. Step 3: Cross multiply
    669,429.50x = 1,471,702.50 × 1,471,702.50
  4. Step 4: Simplify right side
    669,429.50x = 2,165,908,248,506.25
  5. Step 5: Solve for x
    x = 2,165,908,248,506.25/669,429.50
  6. Step 6: Final answer
    x = 3,235,453.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.