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Finding the Third Proportional to 2,400,980.25 and 3,662,448

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Solution

The third proportional to 2,400,980.25 and 3,662,448 is: 5,586,687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400,980.25 : 3,662,448 = 3,662,448 : x
  2. Step 2: Convert to fraction form
    2,400,980.25/3,662,448 = 3,662,448/x
  3. Step 3: Cross multiply
    2,400,980.25x = 3,662,448 × 3,662,448
  4. Step 4: Simplify right side
    2,400,980.25x = 13,413,525,352,704
  5. Step 5: Solve for x
    x = 13,413,525,352,704/2,400,980.25
  6. Step 6: Final answer
    x = 5,586,687.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.