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Finding the Third Proportional to 502,673 and 1,040,338

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Solution

The third proportional to 502,673 and 1,040,338 is: 2,153,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,673 : 1,040,338 = 1,040,338 : x
  2. Step 2: Convert to fraction form
    502,673/1,040,338 = 1,040,338/x
  3. Step 3: Cross multiply
    502,673x = 1,040,338 × 1,040,338
  4. Step 4: Simplify right side
    502,673x = 1,082,303,154,244
  5. Step 5: Solve for x
    x = 1,082,303,154,244/502,673
  6. Step 6: Final answer
    x = 2,153,095.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.