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Finding the Third Proportional to 569,666 and 1,212,964

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Solution

The third proportional to 569,666 and 1,212,964 is: 2,582,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,666 : 1,212,964 = 1,212,964 : x
  2. Step 2: Convert to fraction form
    569,666/1,212,964 = 1,212,964/x
  3. Step 3: Cross multiply
    569,666x = 1,212,964 × 1,212,964
  4. Step 4: Simplify right side
    569,666x = 1,471,281,665,296
  5. Step 5: Solve for x
    x = 1,471,281,665,296/569,666
  6. Step 6: Final answer
    x = 2,582,709.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.