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Finding the Third Proportional to 453,192 and 953,040

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Solution

The third proportional to 453,192 and 953,040 is: 2,004,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,192 : 953,040 = 953,040 : x
  2. Step 2: Convert to fraction form
    453,192/953,040 = 953,040/x
  3. Step 3: Cross multiply
    453,192x = 953,040 × 953,040
  4. Step 4: Simplify right side
    453,192x = 908,285,241,600
  5. Step 5: Solve for x
    x = 908,285,241,600/453,192
  6. Step 6: Final answer
    x = 2,004,195.22

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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.