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Finding the Third Proportional to 3,160,006 and 4,767,894

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Solution

The third proportional to 3,160,006 and 4,767,894 is: 7,193,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160,006 : 4,767,894 = 4,767,894 : x
  2. Step 2: Convert to fraction form
    3,160,006/4,767,894 = 4,767,894/x
  3. Step 3: Cross multiply
    3,160,006x = 4,767,894 × 4,767,894
  4. Step 4: Simplify right side
    3,160,006x = 22,732,813,195,236
  5. Step 5: Solve for x
    x = 22,732,813,195,236/3,160,006
  6. Step 6: Final answer
    x = 7,193,914.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.