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Finding the Third Proportional to 824,696.50 and 1,276,949

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Solution

The third proportional to 824,696.50 and 1,276,949 is: 1,977,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,696.50 : 1,276,949 = 1,276,949 : x
  2. Step 2: Convert to fraction form
    824,696.50/1,276,949 = 1,276,949/x
  3. Step 3: Cross multiply
    824,696.50x = 1,276,949 × 1,276,949
  4. Step 4: Simplify right side
    824,696.50x = 1,630,598,748,601
  5. Step 5: Solve for x
    x = 1,630,598,748,601/824,696.50
  6. Step 6: Final answer
    x = 1,977,210.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.