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Finding the Third Proportional to 2,083,347 and 4,565,538

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Solution

The third proportional to 2,083,347 and 4,565,538 is: 10,005,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083,347 : 4,565,538 = 4,565,538 : x
  2. Step 2: Convert to fraction form
    2,083,347/4,565,538 = 4,565,538/x
  3. Step 3: Cross multiply
    2,083,347x = 4,565,538 × 4,565,538
  4. Step 4: Simplify right side
    2,083,347x = 20,844,137,229,444
  5. Step 5: Solve for x
    x = 20,844,137,229,444/2,083,347
  6. Step 6: Final answer
    x = 10,005,120.24

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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.