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Finding the Third Proportional to 503,324 and 1,064,946

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Solution

The third proportional to 503,324 and 1,064,946 is: 2,253,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,324 : 1,064,946 = 1,064,946 : x
  2. Step 2: Convert to fraction form
    503,324/1,064,946 = 1,064,946/x
  3. Step 3: Cross multiply
    503,324x = 1,064,946 × 1,064,946
  4. Step 4: Simplify right side
    503,324x = 1,134,109,982,916
  5. Step 5: Solve for x
    x = 1,134,109,982,916/503,324
  6. Step 6: Final answer
    x = 2,253,240.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.