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Finding the Third Proportional to 689,409 and 1,029,942

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Solution

The third proportional to 689,409 and 1,029,942 is: 1,538,680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,409 : 1,029,942 = 1,029,942 : x
  2. Step 2: Convert to fraction form
    689,409/1,029,942 = 1,029,942/x
  3. Step 3: Cross multiply
    689,409x = 1,029,942 × 1,029,942
  4. Step 4: Simplify right side
    689,409x = 1,060,780,523,364
  5. Step 5: Solve for x
    x = 1,060,780,523,364/689,409
  6. Step 6: Final answer
    x = 1,538,680.99

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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.