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Finding the Third Proportional to 527,570.72 and 1,073,786.63

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Solution

The third proportional to 527,570.72 and 1,073,786.63 is: 2,185,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,570.72 : 1,073,786.63 = 1,073,786.63 : x
  2. Step 2: Convert to fraction form
    527,570.72/1,073,786.63 = 1,073,786.63/x
  3. Step 3: Cross multiply
    527,570.72x = 1,073,786.63 × 1,073,786.63
  4. Step 4: Simplify right side
    527,570.72x = 1,153,017,716,028.89
  5. Step 5: Solve for x
    x = 1,153,017,716,028.89/527,570.72
  6. Step 6: Final answer
    x = 2,185,522.58

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.