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Finding the Third Proportional to 522,076 and 1,127,096

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Solution

The third proportional to 522,076 and 1,127,096 is: 2,433,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,076 : 1,127,096 = 1,127,096 : x
  2. Step 2: Convert to fraction form
    522,076/1,127,096 = 1,127,096/x
  3. Step 3: Cross multiply
    522,076x = 1,127,096 × 1,127,096
  4. Step 4: Simplify right side
    522,076x = 1,270,345,393,216
  5. Step 5: Solve for x
    x = 1,270,345,393,216/522,076
  6. Step 6: Final answer
    x = 2,433,257.60

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