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Finding the Third Proportional to 451,526 and 980,893

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Solution

The third proportional to 451,526 and 980,893 is: 2,130,887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,526 : 980,893 = 980,893 : x
  2. Step 2: Convert to fraction form
    451,526/980,893 = 980,893/x
  3. Step 3: Cross multiply
    451,526x = 980,893 × 980,893
  4. Step 4: Simplify right side
    451,526x = 962,151,077,449
  5. Step 5: Solve for x
    x = 962,151,077,449/451,526
  6. Step 6: Final answer
    x = 2,130,887.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.