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Finding the Third Proportional to 455,454 and 980,973

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Solution

The third proportional to 455,454 and 980,973 is: 2,112,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,454 : 980,973 = 980,973 : x
  2. Step 2: Convert to fraction form
    455,454/980,973 = 980,973/x
  3. Step 3: Cross multiply
    455,454x = 980,973 × 980,973
  4. Step 4: Simplify right side
    455,454x = 962,308,026,729
  5. Step 5: Solve for x
    x = 962,308,026,729/455,454
  6. Step 6: Final answer
    x = 2,112,854.49

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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.