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Finding the Third Proportional to 522,778 and 1,134,052

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Solution

The third proportional to 522,778 and 1,134,052 is: 2,460,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,778 : 1,134,052 = 1,134,052 : x
  2. Step 2: Convert to fraction form
    522,778/1,134,052 = 1,134,052/x
  3. Step 3: Cross multiply
    522,778x = 1,134,052 × 1,134,052
  4. Step 4: Simplify right side
    522,778x = 1,286,073,938,704
  5. Step 5: Solve for x
    x = 1,286,073,938,704/522,778
  6. Step 6: Final answer
    x = 2,460,076.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.