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Finding the Third Proportional to 1,196,653.50 and 1,796,172.47

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Solution

The third proportional to 1,196,653.50 and 1,796,172.47 is: 2,696,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,653.50 : 1,796,172.47 = 1,796,172.47 : x
  2. Step 2: Convert to fraction form
    1,196,653.50/1,796,172.47 = 1,796,172.47/x
  3. Step 3: Cross multiply
    1,196,653.50x = 1,796,172.47 × 1,796,172.47
  4. Step 4: Simplify right side
    1,196,653.50x = 3,226,235,537,495.47
  5. Step 5: Solve for x
    x = 3,226,235,537,495.47/1,196,653.50
  6. Step 6: Final answer
    x = 2,696,048.22

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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.