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Finding the Third Proportional to 3,526,683.75 and 4,966,357.50

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Solution

The third proportional to 3,526,683.75 and 4,966,357.50 is: 6,993,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526,683.75 : 4,966,357.50 = 4,966,357.50 : x
  2. Step 2: Convert to fraction form
    3,526,683.75/4,966,357.50 = 4,966,357.50/x
  3. Step 3: Cross multiply
    3,526,683.75x = 4,966,357.50 × 4,966,357.50
  4. Step 4: Simplify right side
    3,526,683.75x = 24,664,706,817,806.25
  5. Step 5: Solve for x
    x = 24,664,706,817,806.25/3,526,683.75
  6. Step 6: Final answer
    x = 6,993,739.32

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.