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Finding the Third Proportional to 686,559 and 1,495,170

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Solution

The third proportional to 686,559 and 1,495,170 is: 3,256,141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,559 : 1,495,170 = 1,495,170 : x
  2. Step 2: Convert to fraction form
    686,559/1,495,170 = 1,495,170/x
  3. Step 3: Cross multiply
    686,559x = 1,495,170 × 1,495,170
  4. Step 4: Simplify right side
    686,559x = 2,235,533,328,900
  5. Step 5: Solve for x
    x = 2,235,533,328,900/686,559
  6. Step 6: Final answer
    x = 3,256,141.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.