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Finding the Third Proportional to 503,946 and 1,088,059

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Solution

The third proportional to 503,946 and 1,088,059 is: 2,349,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,946 : 1,088,059 = 1,088,059 : x
  2. Step 2: Convert to fraction form
    503,946/1,088,059 = 1,088,059/x
  3. Step 3: Cross multiply
    503,946x = 1,088,059 × 1,088,059
  4. Step 4: Simplify right side
    503,946x = 1,183,872,387,481
  5. Step 5: Solve for x
    x = 1,183,872,387,481/503,946
  6. Step 6: Final answer
    x = 2,349,204.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.