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Finding the Third Proportional to 746,883 and 1,638,894

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Solution

The third proportional to 746,883 and 1,638,894 is: 3,596,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,883 : 1,638,894 = 1,638,894 : x
  2. Step 2: Convert to fraction form
    746,883/1,638,894 = 1,638,894/x
  3. Step 3: Cross multiply
    746,883x = 1,638,894 × 1,638,894
  4. Step 4: Simplify right side
    746,883x = 2,685,973,543,236
  5. Step 5: Solve for x
    x = 2,685,973,543,236/746,883
  6. Step 6: Final answer
    x = 3,596,244.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.