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Finding the Third Proportional to 487,483 and 1,086,991

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Solution

The third proportional to 487,483 and 1,086,991 is: 2,423,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,483 : 1,086,991 = 1,086,991 : x
  2. Step 2: Convert to fraction form
    487,483/1,086,991 = 1,086,991/x
  3. Step 3: Cross multiply
    487,483x = 1,086,991 × 1,086,991
  4. Step 4: Simplify right side
    487,483x = 1,181,549,434,081
  5. Step 5: Solve for x
    x = 1,181,549,434,081/487,483
  6. Step 6: Final answer
    x = 2,423,775.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.