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Finding the Third Proportional to 453,796 and 954,032

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Solution

The third proportional to 453,796 and 954,032 is: 2,005,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,796 : 954,032 = 954,032 : x
  2. Step 2: Convert to fraction form
    453,796/954,032 = 954,032/x
  3. Step 3: Cross multiply
    453,796x = 954,032 × 954,032
  4. Step 4: Simplify right side
    453,796x = 910,177,057,024
  5. Step 5: Solve for x
    x = 910,177,057,024/453,796
  6. Step 6: Final answer
    x = 2,005,696.52

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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.