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Finding the Third Proportional to 618,752 and 984,564

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Solution

The third proportional to 618,752 and 984,564 is: 1,566,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,752 : 984,564 = 984,564 : x
  2. Step 2: Convert to fraction form
    618,752/984,564 = 984,564/x
  3. Step 3: Cross multiply
    618,752x = 984,564 × 984,564
  4. Step 4: Simplify right side
    618,752x = 969,366,270,096
  5. Step 5: Solve for x
    x = 969,366,270,096/618,752
  6. Step 6: Final answer
    x = 1,566,647.49

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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.