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Finding the Third Proportional to 980,130.65 and 2,123,128.73

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Solution

The third proportional to 980,130.65 and 2,123,128.73 is: 4,599,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,130.65 : 2,123,128.73 = 2,123,128.73 : x
  2. Step 2: Convert to fraction form
    980,130.65/2,123,128.73 = 2,123,128.73/x
  3. Step 3: Cross multiply
    980,130.65x = 2,123,128.73 × 2,123,128.73
  4. Step 4: Simplify right side
    980,130.65x = 4,507,675,610,288.95
  5. Step 5: Solve for x
    x = 4,507,675,610,288.95/980,130.65
  6. Step 6: Final answer
    x = 4,599,055.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.