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Finding the Third Proportional to 456,418.13 and 973,900.13

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Solution

The third proportional to 456,418.13 and 973,900.13 is: 2,078,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,418.13 : 973,900.13 = 973,900.13 : x
  2. Step 2: Convert to fraction form
    456,418.13/973,900.13 = 973,900.13/x
  3. Step 3: Cross multiply
    456,418.13x = 973,900.13 × 973,900.13
  4. Step 4: Simplify right side
    456,418.13x = 948,481,453,475.02
  5. Step 5: Solve for x
    x = 948,481,453,475.02/456,418.13
  6. Step 6: Final answer
    x = 2,078,097.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.