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Finding the Third Proportional to 4,903,784 and 7,653,696

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Solution

The third proportional to 4,903,784 and 7,653,696 is: 11,945,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903,784 : 7,653,696 = 7,653,696 : x
  2. Step 2: Convert to fraction form
    4,903,784/7,653,696 = 7,653,696/x
  3. Step 3: Cross multiply
    4,903,784x = 7,653,696 × 7,653,696
  4. Step 4: Simplify right side
    4,903,784x = 58,579,062,460,416
  5. Step 5: Solve for x
    x = 58,579,062,460,416/4,903,784
  6. Step 6: Final answer
    x = 11,945,685.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.