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Finding the Third Proportional to 1,450,264 and 2,038,656

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Solution

The third proportional to 1,450,264 and 2,038,656 is: 2,865,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450,264 : 2,038,656 = 2,038,656 : x
  2. Step 2: Convert to fraction form
    1,450,264/2,038,656 = 2,038,656/x
  3. Step 3: Cross multiply
    1,450,264x = 2,038,656 × 2,038,656
  4. Step 4: Simplify right side
    1,450,264x = 4,156,118,286,336
  5. Step 5: Solve for x
    x = 4,156,118,286,336/1,450,264
  6. Step 6: Final answer
    x = 2,865,766.71

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.