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Finding the Third Proportional to 453,788 and 954,016

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Solution

The third proportional to 453,788 and 954,016 is: 2,005,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,788 : 954,016 = 954,016 : x
  2. Step 2: Convert to fraction form
    453,788/954,016 = 954,016/x
  3. Step 3: Cross multiply
    453,788x = 954,016 × 954,016
  4. Step 4: Simplify right side
    453,788x = 910,146,528,256
  5. Step 5: Solve for x
    x = 910,146,528,256/453,788
  6. Step 6: Final answer
    x = 2,005,664.60

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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.