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Finding the Third Proportional to 1,505,200 and 3,216,464

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Solution

The third proportional to 1,505,200 and 3,216,464 is: 6,873,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,200 : 3,216,464 = 3,216,464 : x
  2. Step 2: Convert to fraction form
    1,505,200/3,216,464 = 3,216,464/x
  3. Step 3: Cross multiply
    1,505,200x = 3,216,464 × 3,216,464
  4. Step 4: Simplify right side
    1,505,200x = 10,345,640,663,296
  5. Step 5: Solve for x
    x = 10,345,640,663,296/1,505,200
  6. Step 6: Final answer
    x = 6,873,266.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.