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Finding the Third Proportional to 1,584,960 and 3,422,592

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Solution

The third proportional to 1,584,960 and 3,422,592 is: 7,390,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,960 : 3,422,592 = 3,422,592 : x
  2. Step 2: Convert to fraction form
    1,584,960/3,422,592 = 3,422,592/x
  3. Step 3: Cross multiply
    1,584,960x = 3,422,592 × 3,422,592
  4. Step 4: Simplify right side
    1,584,960x = 11,714,135,998,464
  5. Step 5: Solve for x
    x = 11,714,135,998,464/1,584,960
  6. Step 6: Final answer
    x = 7,390,808.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.