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Finding the Third Proportional to 467,893 and 957,957.75

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Solution

The third proportional to 467,893 and 957,957.75 is: 1,961,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,893 : 957,957.75 = 957,957.75 : x
  2. Step 2: Convert to fraction form
    467,893/957,957.75 = 957,957.75/x
  3. Step 3: Cross multiply
    467,893x = 957,957.75 × 957,957.75
  4. Step 4: Simplify right side
    467,893x = 917,683,050,785.06
  5. Step 5: Solve for x
    x = 917,683,050,785.06/467,893
  6. Step 6: Final answer
    x = 1,961,309.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.