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Finding the Third Proportional to 1,704,700 and 3,468,152

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Solution

The third proportional to 1,704,700 and 3,468,152 is: 7,055,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,700 : 3,468,152 = 3,468,152 : x
  2. Step 2: Convert to fraction form
    1,704,700/3,468,152 = 3,468,152/x
  3. Step 3: Cross multiply
    1,704,700x = 3,468,152 × 3,468,152
  4. Step 4: Simplify right side
    1,704,700x = 12,028,078,295,104
  5. Step 5: Solve for x
    x = 12,028,078,295,104/1,704,700
  6. Step 6: Final answer
    x = 7,055,832.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.