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Finding the Third Proportional to 477,983 and 978,018

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Solution

The third proportional to 477,983 and 978,018 is: 2,001,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,983 : 978,018 = 978,018 : x
  2. Step 2: Convert to fraction form
    477,983/978,018 = 978,018/x
  3. Step 3: Cross multiply
    477,983x = 978,018 × 978,018
  4. Step 4: Simplify right side
    477,983x = 956,519,208,324
  5. Step 5: Solve for x
    x = 956,519,208,324/477,983
  6. Step 6: Final answer
    x = 2,001,157.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.