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Finding the Third Proportional to 527,571 and 1,073,787

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Solution

The third proportional to 527,571 and 1,073,787 is: 2,185,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,571 : 1,073,787 = 1,073,787 : x
  2. Step 2: Convert to fraction form
    527,571/1,073,787 = 1,073,787/x
  3. Step 3: Cross multiply
    527,571x = 1,073,787 × 1,073,787
  4. Step 4: Simplify right side
    527,571x = 1,153,018,521,369
  5. Step 5: Solve for x
    x = 1,153,018,521,369/527,571
  6. Step 6: Final answer
    x = 2,185,522.94

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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.