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Finding the Third Proportional to 2,175,463 and 4,610,260

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Solution

The third proportional to 2,175,463 and 4,610,260 is: 9,770,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175,463 : 4,610,260 = 4,610,260 : x
  2. Step 2: Convert to fraction form
    2,175,463/4,610,260 = 4,610,260/x
  3. Step 3: Cross multiply
    2,175,463x = 4,610,260 × 4,610,260
  4. Step 4: Simplify right side
    2,175,463x = 21,254,497,267,600
  5. Step 5: Solve for x
    x = 21,254,497,267,600/2,175,463
  6. Step 6: Final answer
    x = 9,770,102.86

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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.