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Finding the Third Proportional to 1,632,000 and 2,533,248

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Solution

The third proportional to 1,632,000 and 2,533,248 is: 3,932,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,000 : 2,533,248 = 2,533,248 : x
  2. Step 2: Convert to fraction form
    1,632,000/2,533,248 = 2,533,248/x
  3. Step 3: Cross multiply
    1,632,000x = 2,533,248 × 2,533,248
  4. Step 4: Simplify right side
    1,632,000x = 6,417,345,429,504
  5. Step 5: Solve for x
    x = 6,417,345,429,504/1,632,000
  6. Step 6: Final answer
    x = 3,932,196.95

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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.