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Finding the Third Proportional to 850,854 and 1,317,307

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Solution

The third proportional to 850,854 and 1,317,307 is: 2,039,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,854 : 1,317,307 = 1,317,307 : x
  2. Step 2: Convert to fraction form
    850,854/1,317,307 = 1,317,307/x
  3. Step 3: Cross multiply
    850,854x = 1,317,307 × 1,317,307
  4. Step 4: Simplify right side
    850,854x = 1,735,297,732,249
  5. Step 5: Solve for x
    x = 1,735,297,732,249/850,854
  6. Step 6: Final answer
    x = 2,039,477.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.