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Finding the Third Proportional to 461,738 and 989,168

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Solution

The third proportional to 461,738 and 989,168 is: 2,119,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,738 : 989,168 = 989,168 : x
  2. Step 2: Convert to fraction form
    461,738/989,168 = 989,168/x
  3. Step 3: Cross multiply
    461,738x = 989,168 × 989,168
  4. Step 4: Simplify right side
    461,738x = 978,453,332,224
  5. Step 5: Solve for x
    x = 978,453,332,224/461,738
  6. Step 6: Final answer
    x = 2,119,066.08

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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.