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Finding the Third Proportional to 993,769 and 2,144,894

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Solution

The third proportional to 993,769 and 2,144,894 is: 4,629,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,769 : 2,144,894 = 2,144,894 : x
  2. Step 2: Convert to fraction form
    993,769/2,144,894 = 2,144,894/x
  3. Step 3: Cross multiply
    993,769x = 2,144,894 × 2,144,894
  4. Step 4: Simplify right side
    993,769x = 4,600,570,271,236
  5. Step 5: Solve for x
    x = 4,600,570,271,236/993,769
  6. Step 6: Final answer
    x = 4,629,416.16

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Why These Related Problems?

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