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Finding the Third Proportional to 461,780 and 1,010,538

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Solution

The third proportional to 461,780 and 1,010,538 is: 2,211,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,780 : 1,010,538 = 1,010,538 : x
  2. Step 2: Convert to fraction form
    461,780/1,010,538 = 1,010,538/x
  3. Step 3: Cross multiply
    461,780x = 1,010,538 × 1,010,538
  4. Step 4: Simplify right side
    461,780x = 1,021,187,049,444
  5. Step 5: Solve for x
    x = 1,021,187,049,444/461,780
  6. Step 6: Final answer
    x = 2,211,414.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.