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Finding the Third Proportional to 1,599,905.25 and 3,499,114.50

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Solution

The third proportional to 1,599,905.25 and 3,499,114.50 is: 7,652,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599,905.25 : 3,499,114.50 = 3,499,114.50 : x
  2. Step 2: Convert to fraction form
    1,599,905.25/3,499,114.50 = 3,499,114.50/x
  3. Step 3: Cross multiply
    1,599,905.25x = 3,499,114.50 × 3,499,114.50
  4. Step 4: Simplify right side
    1,599,905.25x = 12,243,802,284,110.25
  5. Step 5: Solve for x
    x = 12,243,802,284,110.25/1,599,905.25
  6. Step 6: Final answer
    x = 7,652,829.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.