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Finding the Third Proportional to 547,220 and 1,170,094

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Solution

The third proportional to 547,220 and 1,170,094 is: 2,501,955.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,220 : 1,170,094 = 1,170,094 : x
  2. Step 2: Convert to fraction form
    547,220/1,170,094 = 1,170,094/x
  3. Step 3: Cross multiply
    547,220x = 1,170,094 × 1,170,094
  4. Step 4: Simplify right side
    547,220x = 1,369,119,968,836
  5. Step 5: Solve for x
    x = 1,369,119,968,836/547,220
  6. Step 6: Final answer
    x = 2,501,955.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.