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Finding the Third Proportional to 527,218 and 1,091,818

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Solution

The third proportional to 527,218 and 1,091,818 is: 2,261,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,218 : 1,091,818 = 1,091,818 : x
  2. Step 2: Convert to fraction form
    527,218/1,091,818 = 1,091,818/x
  3. Step 3: Cross multiply
    527,218x = 1,091,818 × 1,091,818
  4. Step 4: Simplify right side
    527,218x = 1,192,066,545,124
  5. Step 5: Solve for x
    x = 1,192,066,545,124/527,218
  6. Step 6: Final answer
    x = 2,261,050.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.