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Finding the Third Proportional to 683,007.19 and 983,800.69

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Solution

The third proportional to 683,007.19 and 983,800.69 is: 1,417,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,007.19 : 983,800.69 = 983,800.69 : x
  2. Step 2: Convert to fraction form
    683,007.19/983,800.69 = 983,800.69/x
  3. Step 3: Cross multiply
    683,007.19x = 983,800.69 × 983,800.69
  4. Step 4: Simplify right side
    683,007.19x = 967,863,792,725.47
  5. Step 5: Solve for x
    x = 967,863,792,725.47/683,007.19
  6. Step 6: Final answer
    x = 1,417,062.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.