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Finding the Third Proportional to 1,931,934 and 4,195,728

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Solution

The third proportional to 1,931,934 and 4,195,728 is: 9,112,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,934 : 4,195,728 = 4,195,728 : x
  2. Step 2: Convert to fraction form
    1,931,934/4,195,728 = 4,195,728/x
  3. Step 3: Cross multiply
    1,931,934x = 4,195,728 × 4,195,728
  4. Step 4: Simplify right side
    1,931,934x = 17,604,133,449,984
  5. Step 5: Solve for x
    x = 17,604,133,449,984/1,931,934
  6. Step 6: Final answer
    x = 9,112,181.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.