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Finding the Third Proportional to 528,043 and 1,084,079

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Solution

The third proportional to 528,043 and 1,084,079 is: 2,225,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,043 : 1,084,079 = 1,084,079 : x
  2. Step 2: Convert to fraction form
    528,043/1,084,079 = 1,084,079/x
  3. Step 3: Cross multiply
    528,043x = 1,084,079 × 1,084,079
  4. Step 4: Simplify right side
    528,043x = 1,175,227,278,241
  5. Step 5: Solve for x
    x = 1,175,227,278,241/528,043
  6. Step 6: Final answer
    x = 2,225,627.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.