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Finding the Third Proportional to 632,610 and 1,364,865

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Solution

The third proportional to 632,610 and 1,364,865 is: 2,944,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,610 : 1,364,865 = 1,364,865 : x
  2. Step 2: Convert to fraction form
    632,610/1,364,865 = 1,364,865/x
  3. Step 3: Cross multiply
    632,610x = 1,364,865 × 1,364,865
  4. Step 4: Simplify right side
    632,610x = 1,862,856,468,225
  5. Step 5: Solve for x
    x = 1,862,856,468,225/632,610
  6. Step 6: Final answer
    x = 2,944,715.49

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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.