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Finding the Third Proportional to 686,522.63 and 1,435,784.63

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Solution

The third proportional to 686,522.63 and 1,435,784.63 is: 3,002,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,522.63 : 1,435,784.63 = 1,435,784.63 : x
  2. Step 2: Convert to fraction form
    686,522.63/1,435,784.63 = 1,435,784.63/x
  3. Step 3: Cross multiply
    686,522.63x = 1,435,784.63 × 1,435,784.63
  4. Step 4: Simplify right side
    686,522.63x = 2,061,477,489,386.39
  5. Step 5: Solve for x
    x = 2,061,477,489,386.39/686,522.63
  6. Step 6: Final answer
    x = 3,002,781.58

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.