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Finding the Third Proportional to 453,038 and 952,690

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Solution

The third proportional to 453,038 and 952,690 is: 2,003,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,038 : 952,690 = 952,690 : x
  2. Step 2: Convert to fraction form
    453,038/952,690 = 952,690/x
  3. Step 3: Cross multiply
    453,038x = 952,690 × 952,690
  4. Step 4: Simplify right side
    453,038x = 907,618,236,100
  5. Step 5: Solve for x
    x = 907,618,236,100/453,038
  6. Step 6: Final answer
    x = 2,003,404.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.