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Finding the Third Proportional to 501,971 and 978,720

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Solution

The third proportional to 501,971 and 978,720 is: 1,908,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,971 : 978,720 = 978,720 : x
  2. Step 2: Convert to fraction form
    501,971/978,720 = 978,720/x
  3. Step 3: Cross multiply
    501,971x = 978,720 × 978,720
  4. Step 4: Simplify right side
    501,971x = 957,892,838,400
  5. Step 5: Solve for x
    x = 957,892,838,400/501,971
  6. Step 6: Final answer
    x = 1,908,263.30

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.