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Finding the Third Proportional to 507,340 and 1,071,232

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Solution

The third proportional to 507,340 and 1,071,232 is: 2,261,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,340 : 1,071,232 = 1,071,232 : x
  2. Step 2: Convert to fraction form
    507,340/1,071,232 = 1,071,232/x
  3. Step 3: Cross multiply
    507,340x = 1,071,232 × 1,071,232
  4. Step 4: Simplify right side
    507,340x = 1,147,537,997,824
  5. Step 5: Solve for x
    x = 1,147,537,997,824/507,340
  6. Step 6: Final answer
    x = 2,261,871.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.