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Finding the Third Proportional to 787,280.81 and 1,180,715.91

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Solution

The third proportional to 787,280.81 and 1,180,715.91 is: 1,770,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,280.81 : 1,180,715.91 = 1,180,715.91 : x
  2. Step 2: Convert to fraction form
    787,280.81/1,180,715.91 = 1,180,715.91/x
  3. Step 3: Cross multiply
    787,280.81x = 1,180,715.91 × 1,180,715.91
  4. Step 4: Simplify right side
    787,280.81x = 1,394,090,051,271.76
  5. Step 5: Solve for x
    x = 1,394,090,051,271.76/787,280.81
  6. Step 6: Final answer
    x = 1,770,765.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.