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Finding the Third Proportional to 457,884 and 983,484

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Solution

The third proportional to 457,884 and 983,484 is: 2,112,414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,884 : 983,484 = 983,484 : x
  2. Step 2: Convert to fraction form
    457,884/983,484 = 983,484/x
  3. Step 3: Cross multiply
    457,884x = 983,484 × 983,484
  4. Step 4: Simplify right side
    457,884x = 967,240,778,256
  5. Step 5: Solve for x
    x = 967,240,778,256/457,884
  6. Step 6: Final answer
    x = 2,112,414.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.