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Finding the Third Proportional to 2,670,509 and 5,072,017

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Solution

The third proportional to 2,670,509 and 5,072,017 is: 9,633,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670,509 : 5,072,017 = 5,072,017 : x
  2. Step 2: Convert to fraction form
    2,670,509/5,072,017 = 5,072,017/x
  3. Step 3: Cross multiply
    2,670,509x = 5,072,017 × 5,072,017
  4. Step 4: Simplify right side
    2,670,509x = 25,725,356,448,289
  5. Step 5: Solve for x
    x = 25,725,356,448,289/2,670,509
  6. Step 6: Final answer
    x = 9,633,128.53

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.