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Finding the Third Proportional to 1,172,784.45 and 2,569,770.56

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Solution

The third proportional to 1,172,784.45 and 2,569,770.56 is: 5,630,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172,784.45 : 2,569,770.56 = 2,569,770.56 : x
  2. Step 2: Convert to fraction form
    1,172,784.45/2,569,770.56 = 2,569,770.56/x
  3. Step 3: Cross multiply
    1,172,784.45x = 2,569,770.56 × 2,569,770.56
  4. Step 4: Simplify right side
    1,172,784.45x = 6,603,720,743,891.57
  5. Step 5: Solve for x
    x = 6,603,720,743,891.57/1,172,784.45
  6. Step 6: Final answer
    x = 5,630,805.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.