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Finding the Third Proportional to 526,223 and 1,118,038

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Solution

The third proportional to 526,223 and 1,118,038 is: 2,375,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,223 : 1,118,038 = 1,118,038 : x
  2. Step 2: Convert to fraction form
    526,223/1,118,038 = 1,118,038/x
  3. Step 3: Cross multiply
    526,223x = 1,118,038 × 1,118,038
  4. Step 4: Simplify right side
    526,223x = 1,250,008,969,444
  5. Step 5: Solve for x
    x = 1,250,008,969,444/526,223
  6. Step 6: Final answer
    x = 2,375,435.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.