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Finding the Third Proportional to 535,034 and 1,139,404

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Solution

The third proportional to 535,034 and 1,139,404 is: 2,426,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,034 : 1,139,404 = 1,139,404 : x
  2. Step 2: Convert to fraction form
    535,034/1,139,404 = 1,139,404/x
  3. Step 3: Cross multiply
    535,034x = 1,139,404 × 1,139,404
  4. Step 4: Simplify right side
    535,034x = 1,298,241,475,216
  5. Step 5: Solve for x
    x = 1,298,241,475,216/535,034
  6. Step 6: Final answer
    x = 2,426,465.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.