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Finding the Third Proportional to 625,820.55 and 1,284,817.57

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Solution

The third proportional to 625,820.55 and 1,284,817.57 is: 2,637,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,820.55 : 1,284,817.57 = 1,284,817.57 : x
  2. Step 2: Convert to fraction form
    625,820.55/1,284,817.57 = 1,284,817.57/x
  3. Step 3: Cross multiply
    625,820.55x = 1,284,817.57 × 1,284,817.57
  4. Step 4: Simplify right side
    625,820.55x = 1,650,756,188,983.72
  5. Step 5: Solve for x
    x = 1,650,756,188,983.72/625,820.55
  6. Step 6: Final answer
    x = 2,637,746.84

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.