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Finding the Third Proportional to 453,680 and 953,796

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Solution

The third proportional to 453,680 and 953,796 is: 2,005,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,680 : 953,796 = 953,796 : x
  2. Step 2: Convert to fraction form
    453,680/953,796 = 953,796/x
  3. Step 3: Cross multiply
    453,680x = 953,796 × 953,796
  4. Step 4: Simplify right side
    453,680x = 909,726,809,616
  5. Step 5: Solve for x
    x = 909,726,809,616/453,680
  6. Step 6: Final answer
    x = 2,005,216.91

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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.