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Finding the Third Proportional to 609,455 and 1,312,567

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Solution

The third proportional to 609,455 and 1,312,567 is: 2,826,840.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,455 : 1,312,567 = 1,312,567 : x
  2. Step 2: Convert to fraction form
    609,455/1,312,567 = 1,312,567/x
  3. Step 3: Cross multiply
    609,455x = 1,312,567 × 1,312,567
  4. Step 4: Simplify right side
    609,455x = 1,722,832,129,489
  5. Step 5: Solve for x
    x = 1,722,832,129,489/609,455
  6. Step 6: Final answer
    x = 2,826,840.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.