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Finding the Third Proportional to 1,876,785.75 and 4,097,612.25

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Solution

The third proportional to 1,876,785.75 and 4,097,612.25 is: 8,946,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876,785.75 : 4,097,612.25 = 4,097,612.25 : x
  2. Step 2: Convert to fraction form
    1,876,785.75/4,097,612.25 = 4,097,612.25/x
  3. Step 3: Cross multiply
    1,876,785.75x = 4,097,612.25 × 4,097,612.25
  4. Step 4: Simplify right side
    1,876,785.75x = 16,790,426,151,350.06
  5. Step 5: Solve for x
    x = 16,790,426,151,350.06/1,876,785.75
  6. Step 6: Final answer
    x = 8,946,373.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.