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Finding the Third Proportional to 1,537,920 and 3,303,504

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Solution

The third proportional to 1,537,920 and 3,303,504 is: 7,096,037.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,920 : 3,303,504 = 3,303,504 : x
  2. Step 2: Convert to fraction form
    1,537,920/3,303,504 = 3,303,504/x
  3. Step 3: Cross multiply
    1,537,920x = 3,303,504 × 3,303,504
  4. Step 4: Simplify right side
    1,537,920x = 10,913,138,678,016
  5. Step 5: Solve for x
    x = 10,913,138,678,016/1,537,920
  6. Step 6: Final answer
    x = 7,096,037.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.