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Finding the Third Proportional to 643,290 and 946,224

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Solution

The third proportional to 643,290 and 946,224 is: 1,391,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,290 : 946,224 = 946,224 : x
  2. Step 2: Convert to fraction form
    643,290/946,224 = 946,224/x
  3. Step 3: Cross multiply
    643,290x = 946,224 × 946,224
  4. Step 4: Simplify right side
    643,290x = 895,339,858,176
  5. Step 5: Solve for x
    x = 895,339,858,176/643,290
  6. Step 6: Final answer
    x = 1,391,813.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.