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Finding the Third Proportional to 689,846 and 1,030,519

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Solution

The third proportional to 689,846 and 1,030,519 is: 1,539,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,846 : 1,030,519 = 1,030,519 : x
  2. Step 2: Convert to fraction form
    689,846/1,030,519 = 1,030,519/x
  3. Step 3: Cross multiply
    689,846x = 1,030,519 × 1,030,519
  4. Step 4: Simplify right side
    689,846x = 1,061,969,409,361
  5. Step 5: Solve for x
    x = 1,061,969,409,361/689,846
  6. Step 6: Final answer
    x = 1,539,429.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.