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Finding the Third Proportional to 1,704,006 and 3,647,382

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Solution

The third proportional to 1,704,006 and 3,647,382 is: 7,807,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,006 : 3,647,382 = 3,647,382 : x
  2. Step 2: Convert to fraction form
    1,704,006/3,647,382 = 3,647,382/x
  3. Step 3: Cross multiply
    1,704,006x = 3,647,382 × 3,647,382
  4. Step 4: Simplify right side
    1,704,006x = 13,303,395,453,924
  5. Step 5: Solve for x
    x = 13,303,395,453,924/1,704,006
  6. Step 6: Final answer
    x = 7,807,129.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.