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Finding the Third Proportional to 653,056 and 940,629

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Solution

The third proportional to 653,056 and 940,629 is: 1,354,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,056 : 940,629 = 940,629 : x
  2. Step 2: Convert to fraction form
    653,056/940,629 = 940,629/x
  3. Step 3: Cross multiply
    653,056x = 940,629 × 940,629
  4. Step 4: Simplify right side
    653,056x = 884,782,915,641
  5. Step 5: Solve for x
    x = 884,782,915,641/653,056
  6. Step 6: Final answer
    x = 1,354,834.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.