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Finding the Third Proportional to 449,826 and 931,482

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Solution

The third proportional to 449,826 and 931,482 is: 1,928,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,826 : 931,482 = 931,482 : x
  2. Step 2: Convert to fraction form
    449,826/931,482 = 931,482/x
  3. Step 3: Cross multiply
    449,826x = 931,482 × 931,482
  4. Step 4: Simplify right side
    449,826x = 867,658,716,324
  5. Step 5: Solve for x
    x = 867,658,716,324/449,826
  6. Step 6: Final answer
    x = 1,928,876.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.