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Finding the Third Proportional to 831,610 and 1,796,168

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Solution

The third proportional to 831,610 and 1,796,168 is: 3,879,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,610 : 1,796,168 = 1,796,168 : x
  2. Step 2: Convert to fraction form
    831,610/1,796,168 = 1,796,168/x
  3. Step 3: Cross multiply
    831,610x = 1,796,168 × 1,796,168
  4. Step 4: Simplify right side
    831,610x = 3,226,219,484,224
  5. Step 5: Solve for x
    x = 3,226,219,484,224/831,610
  6. Step 6: Final answer
    x = 3,879,486.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.