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Finding the Third Proportional to 2,175,476 and 4,610,284

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Solution

The third proportional to 2,175,476 and 4,610,284 is: 9,770,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175,476 : 4,610,284 = 4,610,284 : x
  2. Step 2: Convert to fraction form
    2,175,476/4,610,284 = 4,610,284/x
  3. Step 3: Cross multiply
    2,175,476x = 4,610,284 × 4,610,284
  4. Step 4: Simplify right side
    2,175,476x = 21,254,718,560,656
  5. Step 5: Solve for x
    x = 21,254,718,560,656/2,175,476
  6. Step 6: Final answer
    x = 9,770,146.19

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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.