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Finding the Third Proportional to 526,471 and 1,137,005

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Solution

The third proportional to 526,471 and 1,137,005 is: 2,455,558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,471 : 1,137,005 = 1,137,005 : x
  2. Step 2: Convert to fraction form
    526,471/1,137,005 = 1,137,005/x
  3. Step 3: Cross multiply
    526,471x = 1,137,005 × 1,137,005
  4. Step 4: Simplify right side
    526,471x = 1,292,780,370,025
  5. Step 5: Solve for x
    x = 1,292,780,370,025/526,471
  6. Step 6: Final answer
    x = 2,455,558.56

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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.