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Finding the Third Proportional to 997,419 and 2,065,785

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Solution

The third proportional to 997,419 and 2,065,785 is: 4,278,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,419 : 2,065,785 = 2,065,785 : x
  2. Step 2: Convert to fraction form
    997,419/2,065,785 = 2,065,785/x
  3. Step 3: Cross multiply
    997,419x = 2,065,785 × 2,065,785
  4. Step 4: Simplify right side
    997,419x = 4,267,467,666,225
  5. Step 5: Solve for x
    x = 4,267,467,666,225/997,419
  6. Step 6: Final answer
    x = 4,278,510.50

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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.