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Finding the Third Proportional to 4,164,906 and 6,436,124

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Solution

The third proportional to 4,164,906 and 6,436,124 is: 9,945,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164,906 : 6,436,124 = 6,436,124 : x
  2. Step 2: Convert to fraction form
    4,164,906/6,436,124 = 6,436,124/x
  3. Step 3: Cross multiply
    4,164,906x = 6,436,124 × 6,436,124
  4. Step 4: Simplify right side
    4,164,906x = 41,423,692,143,376
  5. Step 5: Solve for x
    x = 41,423,692,143,376/4,164,906
  6. Step 6: Final answer
    x = 9,945,888.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.