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Finding the Third Proportional to 1,725,498 and 3,629,424

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Solution

The third proportional to 1,725,498 and 3,629,424 is: 7,634,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725,498 : 3,629,424 = 3,629,424 : x
  2. Step 2: Convert to fraction form
    1,725,498/3,629,424 = 3,629,424/x
  3. Step 3: Cross multiply
    1,725,498x = 3,629,424 × 3,629,424
  4. Step 4: Simplify right side
    1,725,498x = 13,172,718,571,776
  5. Step 5: Solve for x
    x = 13,172,718,571,776/1,725,498
  6. Step 6: Final answer
    x = 7,634,154.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.