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Finding the Third Proportional to 455,877.84 and 992,026.69

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Solution

The third proportional to 455,877.84 and 992,026.69 is: 2,158,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,877.84 : 992,026.69 = 992,026.69 : x
  2. Step 2: Convert to fraction form
    455,877.84/992,026.69 = 992,026.69/x
  3. Step 3: Cross multiply
    455,877.84x = 992,026.69 × 992,026.69
  4. Step 4: Simplify right side
    455,877.84x = 984,116,948,712.22
  5. Step 5: Solve for x
    x = 984,116,948,712.22/455,877.84
  6. Step 6: Final answer
    x = 2,158,729.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.