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Finding the Third Proportional to 776,798 and 1,661,538

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Solution

The third proportional to 776,798 and 1,661,538 is: 3,553,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,798 : 1,661,538 = 1,661,538 : x
  2. Step 2: Convert to fraction form
    776,798/1,661,538 = 1,661,538/x
  3. Step 3: Cross multiply
    776,798x = 1,661,538 × 1,661,538
  4. Step 4: Simplify right side
    776,798x = 2,760,708,525,444
  5. Step 5: Solve for x
    x = 2,760,708,525,444/776,798
  6. Step 6: Final answer
    x = 3,553,959.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.