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Finding the Third Proportional to 501,752 and 1,072,192

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Solution

The third proportional to 501,752 and 1,072,192 is: 2,291,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,752 : 1,072,192 = 1,072,192 : x
  2. Step 2: Convert to fraction form
    501,752/1,072,192 = 1,072,192/x
  3. Step 3: Cross multiply
    501,752x = 1,072,192 × 1,072,192
  4. Step 4: Simplify right side
    501,752x = 1,149,595,684,864
  5. Step 5: Solve for x
    x = 1,149,595,684,864/501,752
  6. Step 6: Final answer
    x = 2,291,163.13

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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.