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Finding the Third Proportional to 456,085 and 978,587

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Solution

The third proportional to 456,085 and 978,587 is: 2,099,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,085 : 978,587 = 978,587 : x
  2. Step 2: Convert to fraction form
    456,085/978,587 = 978,587/x
  3. Step 3: Cross multiply
    456,085x = 978,587 × 978,587
  4. Step 4: Simplify right side
    456,085x = 957,632,516,569
  5. Step 5: Solve for x
    x = 957,632,516,569/456,085
  6. Step 6: Final answer
    x = 2,099,679.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.