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Finding the Third Proportional to 455,410.13 and 999,392.63

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Solution

The third proportional to 455,410.13 and 999,392.63 is: 2,193,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,410.13 : 999,392.63 = 999,392.63 : x
  2. Step 2: Convert to fraction form
    455,410.13/999,392.63 = 999,392.63/x
  3. Step 3: Cross multiply
    455,410.13x = 999,392.63 × 999,392.63
  4. Step 4: Simplify right side
    455,410.13x = 998,785,618,904.39
  5. Step 5: Solve for x
    x = 998,785,618,904.39/455,410.13
  6. Step 6: Final answer
    x = 2,193,156.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.