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Finding the Third Proportional to 4,701,760 and 6,983,520

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Solution

The third proportional to 4,701,760 and 6,983,520 is: 10,372,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701,760 : 6,983,520 = 6,983,520 : x
  2. Step 2: Convert to fraction form
    4,701,760/6,983,520 = 6,983,520/x
  3. Step 3: Cross multiply
    4,701,760x = 6,983,520 × 6,983,520
  4. Step 4: Simplify right side
    4,701,760x = 48,769,551,590,400
  5. Step 5: Solve for x
    x = 48,769,551,590,400/4,701,760
  6. Step 6: Final answer
    x = 10,372,616.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.