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Finding the Third Proportional to 547,090 and 879,016

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Solution

The third proportional to 547,090 and 879,016 is: 1,412,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,090 : 879,016 = 879,016 : x
  2. Step 2: Convert to fraction form
    547,090/879,016 = 879,016/x
  3. Step 3: Cross multiply
    547,090x = 879,016 × 879,016
  4. Step 4: Simplify right side
    547,090x = 772,669,128,256
  5. Step 5: Solve for x
    x = 772,669,128,256/547,090
  6. Step 6: Final answer
    x = 1,412,325.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.