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Finding the Third Proportional to 2,140,768 and 4,491,688

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Solution

The third proportional to 2,140,768 and 4,491,688 is: 9,424,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,768 : 4,491,688 = 4,491,688 : x
  2. Step 2: Convert to fraction form
    2,140,768/4,491,688 = 4,491,688/x
  3. Step 3: Cross multiply
    2,140,768x = 4,491,688 × 4,491,688
  4. Step 4: Simplify right side
    2,140,768x = 20,175,261,089,344
  5. Step 5: Solve for x
    x = 20,175,261,089,344/2,140,768
  6. Step 6: Final answer
    x = 9,424,309.92

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.