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Finding the Third Proportional to 2,366,970 and 5,176,803

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Solution

The third proportional to 2,366,970 and 5,176,803 is: 11,322,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366,970 : 5,176,803 = 5,176,803 : x
  2. Step 2: Convert to fraction form
    2,366,970/5,176,803 = 5,176,803/x
  3. Step 3: Cross multiply
    2,366,970x = 5,176,803 × 5,176,803
  4. Step 4: Simplify right side
    2,366,970x = 26,799,289,300,809
  5. Step 5: Solve for x
    x = 26,799,289,300,809/2,366,970
  6. Step 6: Final answer
    x = 11,322,192.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.