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Finding the Third Proportional to 699,852 and 1,535,299

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Solution

The third proportional to 699,852 and 1,535,299 is: 3,368,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,852 : 1,535,299 = 1,535,299 : x
  2. Step 2: Convert to fraction form
    699,852/1,535,299 = 1,535,299/x
  3. Step 3: Cross multiply
    699,852x = 1,535,299 × 1,535,299
  4. Step 4: Simplify right side
    699,852x = 2,357,143,019,401
  5. Step 5: Solve for x
    x = 2,357,143,019,401/699,852
  6. Step 6: Final answer
    x = 3,368,059.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.