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Finding the Third Proportional to 799,906 and 1,125,014

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Solution

The third proportional to 799,906 and 1,125,014 is: 1,582,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,906 : 1,125,014 = 1,125,014 : x
  2. Step 2: Convert to fraction form
    799,906/1,125,014 = 1,125,014/x
  3. Step 3: Cross multiply
    799,906x = 1,125,014 × 1,125,014
  4. Step 4: Simplify right side
    799,906x = 1,265,656,500,196
  5. Step 5: Solve for x
    x = 1,265,656,500,196/799,906
  6. Step 6: Final answer
    x = 1,582,256.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.