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Finding the Third Proportional to 687,236 and 1,421,610

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Solution

The third proportional to 687,236 and 1,421,610 is: 2,940,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,236 : 1,421,610 = 1,421,610 : x
  2. Step 2: Convert to fraction form
    687,236/1,421,610 = 1,421,610/x
  3. Step 3: Cross multiply
    687,236x = 1,421,610 × 1,421,610
  4. Step 4: Simplify right side
    687,236x = 2,020,974,992,100
  5. Step 5: Solve for x
    x = 2,020,974,992,100/687,236
  6. Step 6: Final answer
    x = 2,940,729.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.