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Finding the Third Proportional to 686,556 and 1,495,164

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Solution

The third proportional to 686,556 and 1,495,164 is: 3,256,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,556 : 1,495,164 = 1,495,164 : x
  2. Step 2: Convert to fraction form
    686,556/1,495,164 = 1,495,164/x
  3. Step 3: Cross multiply
    686,556x = 1,495,164 × 1,495,164
  4. Step 4: Simplify right side
    686,556x = 2,235,515,386,896
  5. Step 5: Solve for x
    x = 2,235,515,386,896/686,556
  6. Step 6: Final answer
    x = 3,256,129.71

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Why These Related Problems?

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