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Finding the Third Proportional to 455,696.63 and 981,508.88

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Solution

The third proportional to 455,696.63 and 981,508.88 is: 2,114,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,696.63 : 981,508.88 = 981,508.88 : x
  2. Step 2: Convert to fraction form
    455,696.63/981,508.88 = 981,508.88/x
  3. Step 3: Cross multiply
    455,696.63x = 981,508.88 × 981,508.88
  4. Step 4: Simplify right side
    455,696.63x = 963,359,671,703.77
  5. Step 5: Solve for x
    x = 963,359,671,703.77/455,696.63
  6. Step 6: Final answer
    x = 2,114,037.32

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