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Finding the Third Proportional to 619,206 and 1,255,048.50

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Solution

The third proportional to 619,206 and 1,255,048.50 is: 2,543,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,206 : 1,255,048.50 = 1,255,048.50 : x
  2. Step 2: Convert to fraction form
    619,206/1,255,048.50 = 1,255,048.50/x
  3. Step 3: Cross multiply
    619,206x = 1,255,048.50 × 1,255,048.50
  4. Step 4: Simplify right side
    619,206x = 1,575,146,737,352.25
  5. Step 5: Solve for x
    x = 1,575,146,737,352.25/619,206
  6. Step 6: Final answer
    x = 2,543,816.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.