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Finding the Third Proportional to 1,030,289 and 2,266,120

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Solution

The third proportional to 1,030,289 and 2,266,120 is: 4,984,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,289 : 2,266,120 = 2,266,120 : x
  2. Step 2: Convert to fraction form
    1,030,289/2,266,120 = 2,266,120/x
  3. Step 3: Cross multiply
    1,030,289x = 2,266,120 × 2,266,120
  4. Step 4: Simplify right side
    1,030,289x = 5,135,299,854,400
  5. Step 5: Solve for x
    x = 5,135,299,854,400/1,030,289
  6. Step 6: Final answer
    x = 4,984,329.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.