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Finding the Third Proportional to 501,024.19 and 1,072,989.19

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Solution

The third proportional to 501,024.19 and 1,072,989.19 is: 2,297,904.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,024.19 : 1,072,989.19 = 1,072,989.19 : x
  2. Step 2: Convert to fraction form
    501,024.19/1,072,989.19 = 1,072,989.19/x
  3. Step 3: Cross multiply
    501,024.19x = 1,072,989.19 × 1,072,989.19
  4. Step 4: Simplify right side
    501,024.19x = 1,151,305,796,491.91
  5. Step 5: Solve for x
    x = 1,151,305,796,491.91/501,024.19
  6. Step 6: Final answer
    x = 2,297,904.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.