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Finding the Third Proportional to 1,545,498 and 3,319,524

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Solution

The third proportional to 1,545,498 and 3,319,524 is: 7,129,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545,498 : 3,319,524 = 3,319,524 : x
  2. Step 2: Convert to fraction form
    1,545,498/3,319,524 = 3,319,524/x
  3. Step 3: Cross multiply
    1,545,498x = 3,319,524 × 3,319,524
  4. Step 4: Simplify right side
    1,545,498x = 11,019,239,586,576
  5. Step 5: Solve for x
    x = 11,019,239,586,576/1,545,498
  6. Step 6: Final answer
    x = 7,129,895.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.