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Finding the Third Proportional to 1,168,565 and 1,760,538

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Solution

The third proportional to 1,168,565 and 1,760,538 is: 2,652,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168,565 : 1,760,538 = 1,760,538 : x
  2. Step 2: Convert to fraction form
    1,168,565/1,760,538 = 1,760,538/x
  3. Step 3: Cross multiply
    1,168,565x = 1,760,538 × 1,760,538
  4. Step 4: Simplify right side
    1,168,565x = 3,099,494,049,444
  5. Step 5: Solve for x
    x = 3,099,494,049,444/1,168,565
  6. Step 6: Final answer
    x = 2,652,393.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.