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Finding the Third Proportional to 609,504 and 1,312,659

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Solution

The third proportional to 609,504 and 1,312,659 is: 2,827,009.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,504 : 1,312,659 = 1,312,659 : x
  2. Step 2: Convert to fraction form
    609,504/1,312,659 = 1,312,659/x
  3. Step 3: Cross multiply
    609,504x = 1,312,659 × 1,312,659
  4. Step 4: Simplify right side
    609,504x = 1,723,073,650,281
  5. Step 5: Solve for x
    x = 1,723,073,650,281/609,504
  6. Step 6: Final answer
    x = 2,827,009.59

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