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Finding the Third Proportional to 528,042 and 1,135,659

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Solution

The third proportional to 528,042 and 1,135,659 is: 2,442,459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,042 : 1,135,659 = 1,135,659 : x
  2. Step 2: Convert to fraction form
    528,042/1,135,659 = 1,135,659/x
  3. Step 3: Cross multiply
    528,042x = 1,135,659 × 1,135,659
  4. Step 4: Simplify right side
    528,042x = 1,289,721,364,281
  5. Step 5: Solve for x
    x = 1,289,721,364,281/528,042
  6. Step 6: Final answer
    x = 2,442,459.81

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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.