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Finding the Third Proportional to 656,566 and 984,844

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Solution

The third proportional to 656,566 and 984,844 is: 1,477,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,566 : 984,844 = 984,844 : x
  2. Step 2: Convert to fraction form
    656,566/984,844 = 984,844/x
  3. Step 3: Cross multiply
    656,566x = 984,844 × 984,844
  4. Step 4: Simplify right side
    656,566x = 969,917,704,336
  5. Step 5: Solve for x
    x = 969,917,704,336/656,566
  6. Step 6: Final answer
    x = 1,477,258.50

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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.