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Finding the Third Proportional to 1,196,669.63 and 1,796,228.81

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Solution

The third proportional to 1,196,669.63 and 1,796,228.81 is: 2,696,181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,669.63 : 1,796,228.81 = 1,796,228.81 : x
  2. Step 2: Convert to fraction form
    1,196,669.63/1,796,228.81 = 1,796,228.81/x
  3. Step 3: Cross multiply
    1,196,669.63x = 1,796,228.81 × 1,796,228.81
  4. Step 4: Simplify right side
    1,196,669.63x = 3,226,437,946,855.16
  5. Step 5: Solve for x
    x = 3,226,437,946,855.16/1,196,669.63
  6. Step 6: Final answer
    x = 2,696,181.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.