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Finding the Third Proportional to 528,071 and 1,135,742

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Solution

The third proportional to 528,071 and 1,135,742 is: 2,442,682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,071 : 1,135,742 = 1,135,742 : x
  2. Step 2: Convert to fraction form
    528,071/1,135,742 = 1,135,742/x
  3. Step 3: Cross multiply
    528,071x = 1,135,742 × 1,135,742
  4. Step 4: Simplify right side
    528,071x = 1,289,909,890,564
  5. Step 5: Solve for x
    x = 1,289,909,890,564/528,071
  6. Step 6: Final answer
    x = 2,442,682.69

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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.