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Finding the Third Proportional to 452,124 and 974,232

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Solution

The third proportional to 452,124 and 974,232 is: 2,099,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,124 : 974,232 = 974,232 : x
  2. Step 2: Convert to fraction form
    452,124/974,232 = 974,232/x
  3. Step 3: Cross multiply
    452,124x = 974,232 × 974,232
  4. Step 4: Simplify right side
    452,124x = 949,127,989,824
  5. Step 5: Solve for x
    x = 949,127,989,824/452,124
  6. Step 6: Final answer
    x = 2,099,264.78

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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.