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Finding the Third Proportional to 535,279 and 1,154,119

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Solution

The third proportional to 535,279 and 1,154,119 is: 2,488,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,279 : 1,154,119 = 1,154,119 : x
  2. Step 2: Convert to fraction form
    535,279/1,154,119 = 1,154,119/x
  3. Step 3: Cross multiply
    535,279x = 1,154,119 × 1,154,119
  4. Step 4: Simplify right side
    535,279x = 1,331,990,666,161
  5. Step 5: Solve for x
    x = 1,331,990,666,161/535,279
  6. Step 6: Final answer
    x = 2,488,404.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.