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Finding the Third Proportional to 459,107.42 and 996,841.11

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Solution

The third proportional to 459,107.42 and 996,841.11 is: 2,164,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,107.42 : 996,841.11 = 996,841.11 : x
  2. Step 2: Convert to fraction form
    459,107.42/996,841.11 = 996,841.11/x
  3. Step 3: Cross multiply
    459,107.42x = 996,841.11 × 996,841.11
  4. Step 4: Simplify right side
    459,107.42x = 993,692,206,587.96
  5. Step 5: Solve for x
    x = 993,692,206,587.96/459,107.42
  6. Step 6: Final answer
    x = 2,164,400.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.