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Finding the Third Proportional to 507,889 and 1,083,278

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Solution

The third proportional to 507,889 and 1,083,278 is: 2,310,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,889 : 1,083,278 = 1,083,278 : x
  2. Step 2: Convert to fraction form
    507,889/1,083,278 = 1,083,278/x
  3. Step 3: Cross multiply
    507,889x = 1,083,278 × 1,083,278
  4. Step 4: Simplify right side
    507,889x = 1,173,491,225,284
  5. Step 5: Solve for x
    x = 1,173,491,225,284/507,889
  6. Step 6: Final answer
    x = 2,310,526.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.