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Finding the Third Proportional to 619,060 and 1,312,616

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Solution

The third proportional to 619,060 and 1,312,616 is: 2,783,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,060 : 1,312,616 = 1,312,616 : x
  2. Step 2: Convert to fraction form
    619,060/1,312,616 = 1,312,616/x
  3. Step 3: Cross multiply
    619,060x = 1,312,616 × 1,312,616
  4. Step 4: Simplify right side
    619,060x = 1,722,960,763,456
  5. Step 5: Solve for x
    x = 1,722,960,763,456/619,060
  6. Step 6: Final answer
    x = 2,783,188.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.