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Finding the Third Proportional to 776,482 and 1,660,914

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Solution

The third proportional to 776,482 and 1,660,914 is: 3,552,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,482 : 1,660,914 = 1,660,914 : x
  2. Step 2: Convert to fraction form
    776,482/1,660,914 = 1,660,914/x
  3. Step 3: Cross multiply
    776,482x = 1,660,914 × 1,660,914
  4. Step 4: Simplify right side
    776,482x = 2,758,635,315,396
  5. Step 5: Solve for x
    x = 2,758,635,315,396/776,482
  6. Step 6: Final answer
    x = 3,552,735.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.