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Finding the Third Proportional to 609,284 and 1,322,248

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Solution

The third proportional to 609,284 and 1,322,248 is: 2,869,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,284 : 1,322,248 = 1,322,248 : x
  2. Step 2: Convert to fraction form
    609,284/1,322,248 = 1,322,248/x
  3. Step 3: Cross multiply
    609,284x = 1,322,248 × 1,322,248
  4. Step 4: Simplify right side
    609,284x = 1,748,339,773,504
  5. Step 5: Solve for x
    x = 1,748,339,773,504/609,284
  6. Step 6: Final answer
    x = 2,869,498.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.