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Finding the Third Proportional to 451,392 and 953,448

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Solution

The third proportional to 451,392 and 953,448 is: 2,013,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,392 : 953,448 = 953,448 : x
  2. Step 2: Convert to fraction form
    451,392/953,448 = 953,448/x
  3. Step 3: Cross multiply
    451,392x = 953,448 × 953,448
  4. Step 4: Simplify right side
    451,392x = 909,063,088,704
  5. Step 5: Solve for x
    x = 909,063,088,704/451,392
  6. Step 6: Final answer
    x = 2,013,910.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.