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Finding the Third Proportional to 524,700 and 1,159,662

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Solution

The third proportional to 524,700 and 1,159,662 is: 2,563,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,700 : 1,159,662 = 1,159,662 : x
  2. Step 2: Convert to fraction form
    524,700/1,159,662 = 1,159,662/x
  3. Step 3: Cross multiply
    524,700x = 1,159,662 × 1,159,662
  4. Step 4: Simplify right side
    524,700x = 1,344,815,954,244
  5. Step 5: Solve for x
    x = 1,344,815,954,244/524,700
  6. Step 6: Final answer
    x = 2,563,018.78

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.