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Finding the Third Proportional to 993,914 and 2,145,196

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Solution

The third proportional to 993,914 and 2,145,196 is: 4,630,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,914 : 2,145,196 = 2,145,196 : x
  2. Step 2: Convert to fraction form
    993,914/2,145,196 = 2,145,196/x
  3. Step 3: Cross multiply
    993,914x = 2,145,196 × 2,145,196
  4. Step 4: Simplify right side
    993,914x = 4,601,865,878,416
  5. Step 5: Solve for x
    x = 4,601,865,878,416/993,914
  6. Step 6: Final answer
    x = 4,630,044.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.