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Finding the Third Proportional to 458,103.88 and 986,443.79

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Solution

The third proportional to 458,103.88 and 986,443.79 is: 2,124,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,103.88 : 986,443.79 = 986,443.79 : x
  2. Step 2: Convert to fraction form
    458,103.88/986,443.79 = 986,443.79/x
  3. Step 3: Cross multiply
    458,103.88x = 986,443.79 × 986,443.79
  4. Step 4: Simplify right side
    458,103.88x = 973,071,345,126.78
  5. Step 5: Solve for x
    x = 973,071,345,126.78/458,103.88
  6. Step 6: Final answer
    x = 2,124,128.12

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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.