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Finding the Third Proportional to 535,480 and 1,115,347

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Solution

The third proportional to 535,480 and 1,115,347 is: 2,323,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,480 : 1,115,347 = 1,115,347 : x
  2. Step 2: Convert to fraction form
    535,480/1,115,347 = 1,115,347/x
  3. Step 3: Cross multiply
    535,480x = 1,115,347 × 1,115,347
  4. Step 4: Simplify right side
    535,480x = 1,243,998,930,409
  5. Step 5: Solve for x
    x = 1,243,998,930,409/535,480
  6. Step 6: Final answer
    x = 2,323,147.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.