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Finding the Third Proportional to 632,872 and 1,364,700

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Solution

The third proportional to 632,872 and 1,364,700 is: 2,942,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,872 : 1,364,700 = 1,364,700 : x
  2. Step 2: Convert to fraction form
    632,872/1,364,700 = 1,364,700/x
  3. Step 3: Cross multiply
    632,872x = 1,364,700 × 1,364,700
  4. Step 4: Simplify right side
    632,872x = 1,862,406,090,000
  5. Step 5: Solve for x
    x = 1,862,406,090,000/632,872
  6. Step 6: Final answer
    x = 2,942,784.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.