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Finding the Third Proportional to 600,212 and 1,300,069.50

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Solution

The third proportional to 600,212 and 1,300,069.50 is: 2,815,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,212 : 1,300,069.50 = 1,300,069.50 : x
  2. Step 2: Convert to fraction form
    600,212/1,300,069.50 = 1,300,069.50/x
  3. Step 3: Cross multiply
    600,212x = 1,300,069.50 × 1,300,069.50
  4. Step 4: Simplify right side
    600,212x = 1,690,180,704,830.25
  5. Step 5: Solve for x
    x = 1,690,180,704,830.25/600,212
  6. Step 6: Final answer
    x = 2,815,972.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.