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Finding the Third Proportional to 526,242 and 1,135,506

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Solution

The third proportional to 526,242 and 1,135,506 is: 2,450,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,242 : 1,135,506 = 1,135,506 : x
  2. Step 2: Convert to fraction form
    526,242/1,135,506 = 1,135,506/x
  3. Step 3: Cross multiply
    526,242x = 1,135,506 × 1,135,506
  4. Step 4: Simplify right side
    526,242x = 1,289,373,876,036
  5. Step 5: Solve for x
    x = 1,289,373,876,036/526,242
  6. Step 6: Final answer
    x = 2,450,153.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.