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Finding the Third Proportional to 902,319.75 and 2,006,364.94

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Solution

The third proportional to 902,319.75 and 2,006,364.94 is: 4,461,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,319.75 : 2,006,364.94 = 2,006,364.94 : x
  2. Step 2: Convert to fraction form
    902,319.75/2,006,364.94 = 2,006,364.94/x
  3. Step 3: Cross multiply
    902,319.75x = 2,006,364.94 × 2,006,364.94
  4. Step 4: Simplify right side
    902,319.75x = 4,025,500,262,429.38
  5. Step 5: Solve for x
    x = 4,025,500,262,429.38/902,319.75
  6. Step 6: Final answer
    x = 4,461,279.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.