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Finding the Third Proportional to 635,710 and 1,347,236

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Solution

The third proportional to 635,710 and 1,347,236 is: 2,855,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,710 : 1,347,236 = 1,347,236 : x
  2. Step 2: Convert to fraction form
    635,710/1,347,236 = 1,347,236/x
  3. Step 3: Cross multiply
    635,710x = 1,347,236 × 1,347,236
  4. Step 4: Simplify right side
    635,710x = 1,815,044,839,696
  5. Step 5: Solve for x
    x = 1,815,044,839,696/635,710
  6. Step 6: Final answer
    x = 2,855,145.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.