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Finding the Third Proportional to 973,668 and 1,422,828

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Solution

The third proportional to 973,668 and 1,422,828 is: 2,079,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,668 : 1,422,828 = 1,422,828 : x
  2. Step 2: Convert to fraction form
    973,668/1,422,828 = 1,422,828/x
  3. Step 3: Cross multiply
    973,668x = 1,422,828 × 1,422,828
  4. Step 4: Simplify right side
    973,668x = 2,024,439,517,584
  5. Step 5: Solve for x
    x = 2,024,439,517,584/973,668
  6. Step 6: Final answer
    x = 2,079,188.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.