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Finding the Third Proportional to 2,580,184.69 and 3,609,184.50

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Solution

The third proportional to 2,580,184.69 and 3,609,184.50 is: 5,048,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580,184.69 : 3,609,184.50 = 3,609,184.50 : x
  2. Step 2: Convert to fraction form
    2,580,184.69/3,609,184.50 = 3,609,184.50/x
  3. Step 3: Cross multiply
    2,580,184.69x = 3,609,184.50 × 3,609,184.50
  4. Step 4: Simplify right side
    2,580,184.69x = 13,026,212,755,040.25
  5. Step 5: Solve for x
    x = 13,026,212,755,040.25/2,580,184.69
  6. Step 6: Final answer
    x = 5,048,558.27

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.