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Finding the Third Proportional to 511,958 and 1,117,224

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Solution

The third proportional to 511,958 and 1,117,224 is: 2,438,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,958 : 1,117,224 = 1,117,224 : x
  2. Step 2: Convert to fraction form
    511,958/1,117,224 = 1,117,224/x
  3. Step 3: Cross multiply
    511,958x = 1,117,224 × 1,117,224
  4. Step 4: Simplify right side
    511,958x = 1,248,189,466,176
  5. Step 5: Solve for x
    x = 1,248,189,466,176/511,958
  6. Step 6: Final answer
    x = 2,438,070.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.