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Finding the Third Proportional to 953,217 and 1,472,107.50

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Solution

The third proportional to 953,217 and 1,472,107.50 is: 2,273,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,217 : 1,472,107.50 = 1,472,107.50 : x
  2. Step 2: Convert to fraction form
    953,217/1,472,107.50 = 1,472,107.50/x
  3. Step 3: Cross multiply
    953,217x = 1,472,107.50 × 1,472,107.50
  4. Step 4: Simplify right side
    953,217x = 2,167,100,491,556.25
  5. Step 5: Solve for x
    x = 2,167,100,491,556.25/953,217
  6. Step 6: Final answer
    x = 2,273,459.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.