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Finding the Third Proportional to 455,832 and 978,117

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Solution

The third proportional to 455,832 and 978,117 is: 2,098,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,832 : 978,117 = 978,117 : x
  2. Step 2: Convert to fraction form
    455,832/978,117 = 978,117/x
  3. Step 3: Cross multiply
    455,832x = 978,117 × 978,117
  4. Step 4: Simplify right side
    455,832x = 956,712,865,689
  5. Step 5: Solve for x
    x = 956,712,865,689/455,832
  6. Step 6: Final answer
    x = 2,098,827.78

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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.