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Finding the Third Proportional to 962,904 and 1,491,012

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Solution

The third proportional to 962,904 and 1,491,012 is: 2,308,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,904 : 1,491,012 = 1,491,012 : x
  2. Step 2: Convert to fraction form
    962,904/1,491,012 = 1,491,012/x
  3. Step 3: Cross multiply
    962,904x = 1,491,012 × 1,491,012
  4. Step 4: Simplify right side
    962,904x = 2,223,116,784,144
  5. Step 5: Solve for x
    x = 2,223,116,784,144/962,904
  6. Step 6: Final answer
    x = 2,308,762.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.