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Finding the Third Proportional to 2,833,172 and 4,273,473

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Solution

The third proportional to 2,833,172 and 4,273,473 is: 6,445,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833,172 : 4,273,473 = 4,273,473 : x
  2. Step 2: Convert to fraction form
    2,833,172/4,273,473 = 4,273,473/x
  3. Step 3: Cross multiply
    2,833,172x = 4,273,473 × 4,273,473
  4. Step 4: Simplify right side
    2,833,172x = 18,262,571,481,729
  5. Step 5: Solve for x
    x = 18,262,571,481,729/2,833,172
  6. Step 6: Final answer
    x = 6,445,980.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.