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Finding the Third Proportional to 654,707 and 984,495

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Solution

The third proportional to 654,707 and 984,495 is: 1,480,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,707 : 984,495 = 984,495 : x
  2. Step 2: Convert to fraction form
    654,707/984,495 = 984,495/x
  3. Step 3: Cross multiply
    654,707x = 984,495 × 984,495
  4. Step 4: Simplify right side
    654,707x = 969,230,405,025
  5. Step 5: Solve for x
    x = 969,230,405,025/654,707
  6. Step 6: Final answer
    x = 1,480,403.30

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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.