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Finding the Third Proportional to 1,584,375 and 3,421,315.50

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Solution

The third proportional to 1,584,375 and 3,421,315.50 is: 7,388,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,375 : 3,421,315.50 = 3,421,315.50 : x
  2. Step 2: Convert to fraction form
    1,584,375/3,421,315.50 = 3,421,315.50/x
  3. Step 3: Cross multiply
    1,584,375x = 3,421,315.50 × 3,421,315.50
  4. Step 4: Simplify right side
    1,584,375x = 11,705,399,750,540.25
  5. Step 5: Solve for x
    x = 11,705,399,750,540.25/1,584,375
  6. Step 6: Final answer
    x = 7,388,023.51

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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.