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Finding the Third Proportional to 683,382 and 1,041,921

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Solution

The third proportional to 683,382 and 1,041,921 is: 1,588,568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,382 : 1,041,921 = 1,041,921 : x
  2. Step 2: Convert to fraction form
    683,382/1,041,921 = 1,041,921/x
  3. Step 3: Cross multiply
    683,382x = 1,041,921 × 1,041,921
  4. Step 4: Simplify right side
    683,382x = 1,085,599,370,241
  5. Step 5: Solve for x
    x = 1,085,599,370,241/683,382
  6. Step 6: Final answer
    x = 1,588,568.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.