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Finding the Third Proportional to 1,130,533.69 and 2,425,182.84

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Solution

The third proportional to 1,130,533.69 and 2,425,182.84 is: 5,202,420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130,533.69 : 2,425,182.84 = 2,425,182.84 : x
  2. Step 2: Convert to fraction form
    1,130,533.69/2,425,182.84 = 2,425,182.84/x
  3. Step 3: Cross multiply
    1,130,533.69x = 2,425,182.84 × 2,425,182.84
  4. Step 4: Simplify right side
    1,130,533.69x = 5,881,511,825,619.34
  5. Step 5: Solve for x
    x = 5,881,511,825,619.34/1,130,533.69
  6. Step 6: Final answer
    x = 5,202,420.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.