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Finding the Third Proportional to 507,888 and 1,083,276

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Solution

The third proportional to 507,888 and 1,083,276 is: 2,310,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,888 : 1,083,276 = 1,083,276 : x
  2. Step 2: Convert to fraction form
    507,888/1,083,276 = 1,083,276/x
  3. Step 3: Cross multiply
    507,888x = 1,083,276 × 1,083,276
  4. Step 4: Simplify right side
    507,888x = 1,173,486,892,176
  5. Step 5: Solve for x
    x = 1,173,486,892,176/507,888
  6. Step 6: Final answer
    x = 2,310,522.97

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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.