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Finding the Third Proportional to 836,919 and 1,074,586.50

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Solution

The third proportional to 836,919 and 1,074,586.50 is: 1,379,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,919 : 1,074,586.50 = 1,074,586.50 : x
  2. Step 2: Convert to fraction form
    836,919/1,074,586.50 = 1,074,586.50/x
  3. Step 3: Cross multiply
    836,919x = 1,074,586.50 × 1,074,586.50
  4. Step 4: Simplify right side
    836,919x = 1,154,736,145,982.25
  5. Step 5: Solve for x
    x = 1,154,736,145,982.25/836,919
  6. Step 6: Final answer
    x = 1,379,746.60

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.