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Finding the Third Proportional to 484,787 and 1,132,263

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Solution

The third proportional to 484,787 and 1,132,263 is: 2,644,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,787 : 1,132,263 = 1,132,263 : x
  2. Step 2: Convert to fraction form
    484,787/1,132,263 = 1,132,263/x
  3. Step 3: Cross multiply
    484,787x = 1,132,263 × 1,132,263
  4. Step 4: Simplify right side
    484,787x = 1,282,019,501,169
  5. Step 5: Solve for x
    x = 1,282,019,501,169/484,787
  6. Step 6: Final answer
    x = 2,644,500.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.