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Finding the Third Proportional to 2,751,024 and 6,033,490

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Solution

The third proportional to 2,751,024 and 6,033,490 is: 13,232,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751,024 : 6,033,490 = 6,033,490 : x
  2. Step 2: Convert to fraction form
    2,751,024/6,033,490 = 6,033,490/x
  3. Step 3: Cross multiply
    2,751,024x = 6,033,490 × 6,033,490
  4. Step 4: Simplify right side
    2,751,024x = 36,403,001,580,100
  5. Step 5: Solve for x
    x = 36,403,001,580,100/2,751,024
  6. Step 6: Final answer
    x = 13,232,527.81

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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.