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Finding the Third Proportional to 464,099.63 and 957,108.66

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Solution

The third proportional to 464,099.63 and 957,108.66 is: 1,973,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,099.63 : 957,108.66 = 957,108.66 : x
  2. Step 2: Convert to fraction form
    464,099.63/957,108.66 = 957,108.66/x
  3. Step 3: Cross multiply
    464,099.63x = 957,108.66 × 957,108.66
  4. Step 4: Simplify right side
    464,099.63x = 916,056,979,868.68
  5. Step 5: Solve for x
    x = 916,056,979,868.68/464,099.63
  6. Step 6: Final answer
    x = 1,973,836.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.