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Finding the Third Proportional to 612,829.50 and 1,346,590.50

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Solution

The third proportional to 612,829.50 and 1,346,590.50 is: 2,958,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,829.50 : 1,346,590.50 = 1,346,590.50 : x
  2. Step 2: Convert to fraction form
    612,829.50/1,346,590.50 = 1,346,590.50/x
  3. Step 3: Cross multiply
    612,829.50x = 1,346,590.50 × 1,346,590.50
  4. Step 4: Simplify right side
    612,829.50x = 1,813,305,974,690.25
  5. Step 5: Solve for x
    x = 1,813,305,974,690.25/612,829.50
  6. Step 6: Final answer
    x = 2,958,907.78

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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.