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Finding the Third Proportional to 460,404 and 984,768

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Solution

The third proportional to 460,404 and 984,768 is: 2,106,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,404 : 984,768 = 984,768 : x
  2. Step 2: Convert to fraction form
    460,404/984,768 = 984,768/x
  3. Step 3: Cross multiply
    460,404x = 984,768 × 984,768
  4. Step 4: Simplify right side
    460,404x = 969,768,013,824
  5. Step 5: Solve for x
    x = 969,768,013,824/460,404
  6. Step 6: Final answer
    x = 2,106,341.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.