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Finding the Third Proportional to 686,560 and 1,495,172

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Solution

The third proportional to 686,560 and 1,495,172 is: 3,256,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,560 : 1,495,172 = 1,495,172 : x
  2. Step 2: Convert to fraction form
    686,560/1,495,172 = 1,495,172/x
  3. Step 3: Cross multiply
    686,560x = 1,495,172 × 1,495,172
  4. Step 4: Simplify right side
    686,560x = 2,235,539,309,584
  5. Step 5: Solve for x
    x = 2,235,539,309,584/686,560
  6. Step 6: Final answer
    x = 3,256,145.58

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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.