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Finding the Third Proportional to 862,357 and 1,814,095

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Solution

The third proportional to 862,357 and 1,814,095 is: 3,816,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,357 : 1,814,095 = 1,814,095 : x
  2. Step 2: Convert to fraction form
    862,357/1,814,095 = 1,814,095/x
  3. Step 3: Cross multiply
    862,357x = 1,814,095 × 1,814,095
  4. Step 4: Simplify right side
    862,357x = 3,290,940,669,025
  5. Step 5: Solve for x
    x = 3,290,940,669,025/862,357
  6. Step 6: Final answer
    x = 3,816,216.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.