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Finding the Third Proportional to 507,887 and 1,083,274

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Solution

The third proportional to 507,887 and 1,083,274 is: 2,310,518.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,887 : 1,083,274 = 1,083,274 : x
  2. Step 2: Convert to fraction form
    507,887/1,083,274 = 1,083,274/x
  3. Step 3: Cross multiply
    507,887x = 1,083,274 × 1,083,274
  4. Step 4: Simplify right side
    507,887x = 1,173,482,559,076
  5. Step 5: Solve for x
    x = 1,173,482,559,076/507,887
  6. Step 6: Final answer
    x = 2,310,518.99

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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.