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Finding the Third Proportional to 732,406 and 1,097,886

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Solution

The third proportional to 732,406 and 1,097,886 is: 1,645,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,406 : 1,097,886 = 1,097,886 : x
  2. Step 2: Convert to fraction form
    732,406/1,097,886 = 1,097,886/x
  3. Step 3: Cross multiply
    732,406x = 1,097,886 × 1,097,886
  4. Step 4: Simplify right side
    732,406x = 1,205,353,668,996
  5. Step 5: Solve for x
    x = 1,205,353,668,996/732,406
  6. Step 6: Final answer
    x = 1,645,745.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.