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Finding the Third Proportional to 651,101 and 1,008,039.50

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Solution

The third proportional to 651,101 and 1,008,039.50 is: 1,560,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,101 : 1,008,039.50 = 1,008,039.50 : x
  2. Step 2: Convert to fraction form
    651,101/1,008,039.50 = 1,008,039.50/x
  3. Step 3: Cross multiply
    651,101x = 1,008,039.50 × 1,008,039.50
  4. Step 4: Simplify right side
    651,101x = 1,016,143,633,560.25
  5. Step 5: Solve for x
    x = 1,016,143,633,560.25/651,101
  6. Step 6: Final answer
    x = 1,560,654.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.