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Finding the Third Proportional to 563,346 and 1,215,162

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Solution

The third proportional to 563,346 and 1,215,162 is: 2,621,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,346 : 1,215,162 = 1,215,162 : x
  2. Step 2: Convert to fraction form
    563,346/1,215,162 = 1,215,162/x
  3. Step 3: Cross multiply
    563,346x = 1,215,162 × 1,215,162
  4. Step 4: Simplify right side
    563,346x = 1,476,618,686,244
  5. Step 5: Solve for x
    x = 1,476,618,686,244/563,346
  6. Step 6: Final answer
    x = 2,621,157.67

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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.