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Finding the Third Proportional to 2,270,454 and 3,415,248

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Solution

The third proportional to 2,270,454 and 3,415,248 is: 5,137,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,454 : 3,415,248 = 3,415,248 : x
  2. Step 2: Convert to fraction form
    2,270,454/3,415,248 = 3,415,248/x
  3. Step 3: Cross multiply
    2,270,454x = 3,415,248 × 3,415,248
  4. Step 4: Simplify right side
    2,270,454x = 11,663,918,901,504
  5. Step 5: Solve for x
    x = 11,663,918,901,504/2,270,454
  6. Step 6: Final answer
    x = 5,137,262.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.