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Finding the Third Proportional to 535,968 and 1,165,248

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Solution

The third proportional to 535,968 and 1,165,248 is: 2,533,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,968 : 1,165,248 = 1,165,248 : x
  2. Step 2: Convert to fraction form
    535,968/1,165,248 = 1,165,248/x
  3. Step 3: Cross multiply
    535,968x = 1,165,248 × 1,165,248
  4. Step 4: Simplify right side
    535,968x = 1,357,802,901,504
  5. Step 5: Solve for x
    x = 1,357,802,901,504/535,968
  6. Step 6: Final answer
    x = 2,533,365.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.