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Finding the Third Proportional to 2,101,626 and 4,453,143

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Solution

The third proportional to 2,101,626 and 4,453,143 is: 9,435,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101,626 : 4,453,143 = 4,453,143 : x
  2. Step 2: Convert to fraction form
    2,101,626/4,453,143 = 4,453,143/x
  3. Step 3: Cross multiply
    2,101,626x = 4,453,143 × 4,453,143
  4. Step 4: Simplify right side
    2,101,626x = 19,830,482,578,449
  5. Step 5: Solve for x
    x = 19,830,482,578,449/2,101,626
  6. Step 6: Final answer
    x = 9,435,780.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.