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Finding the Third Proportional to 618,742 and 984,550

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Solution

The third proportional to 618,742 and 984,550 is: 1,566,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,742 : 984,550 = 984,550 : x
  2. Step 2: Convert to fraction form
    618,742/984,550 = 984,550/x
  3. Step 3: Cross multiply
    618,742x = 984,550 × 984,550
  4. Step 4: Simplify right side
    618,742x = 969,338,702,500
  5. Step 5: Solve for x
    x = 969,338,702,500/618,742
  6. Step 6: Final answer
    x = 1,566,628.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.