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Finding the Third Proportional to 2,103,627 and 4,607,679

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Solution

The third proportional to 2,103,627 and 4,607,679 is: 10,092,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,627 : 4,607,679 = 4,607,679 : x
  2. Step 2: Convert to fraction form
    2,103,627/4,607,679 = 4,607,679/x
  3. Step 3: Cross multiply
    2,103,627x = 4,607,679 × 4,607,679
  4. Step 4: Simplify right side
    2,103,627x = 21,230,705,767,041
  5. Step 5: Solve for x
    x = 21,230,705,767,041/2,103,627
  6. Step 6: Final answer
    x = 10,092,428.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.