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Finding the Third Proportional to 850,786 and 1,318,007

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Solution

The third proportional to 850,786 and 1,318,007 is: 2,041,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,786 : 1,318,007 = 1,318,007 : x
  2. Step 2: Convert to fraction form
    850,786/1,318,007 = 1,318,007/x
  3. Step 3: Cross multiply
    850,786x = 1,318,007 × 1,318,007
  4. Step 4: Simplify right side
    850,786x = 1,737,142,452,049
  5. Step 5: Solve for x
    x = 1,737,142,452,049/850,786
  6. Step 6: Final answer
    x = 2,041,808.93

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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.