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Finding the Third Proportional to 501,003 and 1,019,505

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Solution

The third proportional to 501,003 and 1,019,505 is: 2,074,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,003 : 1,019,505 = 1,019,505 : x
  2. Step 2: Convert to fraction form
    501,003/1,019,505 = 1,019,505/x
  3. Step 3: Cross multiply
    501,003x = 1,019,505 × 1,019,505
  4. Step 4: Simplify right side
    501,003x = 1,039,390,445,025
  5. Step 5: Solve for x
    x = 1,039,390,445,025/501,003
  6. Step 6: Final answer
    x = 2,074,619.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.