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Finding the Third Proportional to 2,409,804 and 5,216,340

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Solution

The third proportional to 2,409,804 and 5,216,340 is: 11,291,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,804 : 5,216,340 = 5,216,340 : x
  2. Step 2: Convert to fraction form
    2,409,804/5,216,340 = 5,216,340/x
  3. Step 3: Cross multiply
    2,409,804x = 5,216,340 × 5,216,340
  4. Step 4: Simplify right side
    2,409,804x = 27,210,202,995,600
  5. Step 5: Solve for x
    x = 27,210,202,995,600/2,409,804
  6. Step 6: Final answer
    x = 11,291,458.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.