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Finding the Third Proportional to 776,911.50 and 1,697,919.75

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Solution

The third proportional to 776,911.50 and 1,697,919.75 is: 3,710,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,911.50 : 1,697,919.75 = 1,697,919.75 : x
  2. Step 2: Convert to fraction form
    776,911.50/1,697,919.75 = 1,697,919.75/x
  3. Step 3: Cross multiply
    776,911.50x = 1,697,919.75 × 1,697,919.75
  4. Step 4: Simplify right side
    776,911.50x = 2,882,931,477,440.06
  5. Step 5: Solve for x
    x = 2,882,931,477,440.06/776,911.50
  6. Step 6: Final answer
    x = 3,710,759.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.