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Finding the Third Proportional to 683,988 and 1,022,156

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Solution

The third proportional to 683,988 and 1,022,156 is: 1,527,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,988 : 1,022,156 = 1,022,156 : x
  2. Step 2: Convert to fraction form
    683,988/1,022,156 = 1,022,156/x
  3. Step 3: Cross multiply
    683,988x = 1,022,156 × 1,022,156
  4. Step 4: Simplify right side
    683,988x = 1,044,802,888,336
  5. Step 5: Solve for x
    x = 1,044,802,888,336/683,988
  6. Step 6: Final answer
    x = 1,527,516.40

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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.