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Finding the Third Proportional to 547,046 and 878,956

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Solution

The third proportional to 547,046 and 878,956 is: 1,412,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,046 : 878,956 = 878,956 : x
  2. Step 2: Convert to fraction form
    547,046/878,956 = 878,956/x
  3. Step 3: Cross multiply
    547,046x = 878,956 × 878,956
  4. Step 4: Simplify right side
    547,046x = 772,563,649,936
  5. Step 5: Solve for x
    x = 772,563,649,936/547,046
  6. Step 6: Final answer
    x = 1,412,246.23

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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.