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Finding the Third Proportional to 1,830,486.38 and 3,812,479.31

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Solution

The third proportional to 1,830,486.38 and 3,812,479.31 is: 7,940,511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830,486.38 : 3,812,479.31 = 3,812,479.31 : x
  2. Step 2: Convert to fraction form
    1,830,486.38/3,812,479.31 = 3,812,479.31/x
  3. Step 3: Cross multiply
    1,830,486.38x = 3,812,479.31 × 3,812,479.31
  4. Step 4: Simplify right side
    1,830,486.38x = 14,534,998,508,240.47
  5. Step 5: Solve for x
    x = 14,534,998,508,240.47/1,830,486.38
  6. Step 6: Final answer
    x = 7,940,511.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.