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Finding the Third Proportional to 744,796.90 and 1,578,974.13

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Solution

The third proportional to 744,796.90 and 1,578,974.13 is: 3,347,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,796.90 : 1,578,974.13 = 1,578,974.13 : x
  2. Step 2: Convert to fraction form
    744,796.90/1,578,974.13 = 1,578,974.13/x
  3. Step 3: Cross multiply
    744,796.90x = 1,578,974.13 × 1,578,974.13
  4. Step 4: Simplify right side
    744,796.90x = 2,493,159,312,090.99
  5. Step 5: Solve for x
    x = 2,493,159,312,090.99/744,796.90
  6. Step 6: Final answer
    x = 3,347,435.14

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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.