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Finding the Third Proportional to 1,200,141.56 and 2,624,346

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Solution

The third proportional to 1,200,141.56 and 2,624,346 is: 5,738,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,141.56 : 2,624,346 = 2,624,346 : x
  2. Step 2: Convert to fraction form
    1,200,141.56/2,624,346 = 2,624,346/x
  3. Step 3: Cross multiply
    1,200,141.56x = 2,624,346 × 2,624,346
  4. Step 4: Simplify right side
    1,200,141.56x = 6,887,191,927,716
  5. Step 5: Solve for x
    x = 6,887,191,927,716/1,200,141.56
  6. Step 6: Final answer
    x = 5,738,649.63

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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.