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Finding the Third Proportional to 2,367,216 and 5,177,388

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Solution

The third proportional to 2,367,216 and 5,177,388 is: 11,323,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367,216 : 5,177,388 = 5,177,388 : x
  2. Step 2: Convert to fraction form
    2,367,216/5,177,388 = 5,177,388/x
  3. Step 3: Cross multiply
    2,367,216x = 5,177,388 × 5,177,388
  4. Step 4: Simplify right side
    2,367,216x = 26,805,346,502,544
  5. Step 5: Solve for x
    x = 26,805,346,502,544/2,367,216
  6. Step 6: Final answer
    x = 11,323,574.40

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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.