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Finding the Third Proportional to 978,692.50 and 1,497,289.25

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Solution

The third proportional to 978,692.50 and 1,497,289.25 is: 2,290,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,692.50 : 1,497,289.25 = 1,497,289.25 : x
  2. Step 2: Convert to fraction form
    978,692.50/1,497,289.25 = 1,497,289.25/x
  3. Step 3: Cross multiply
    978,692.50x = 1,497,289.25 × 1,497,289.25
  4. Step 4: Simplify right side
    978,692.50x = 2,241,875,098,165.56
  5. Step 5: Solve for x
    x = 2,241,875,098,165.56/978,692.50
  6. Step 6: Final answer
    x = 2,290,683.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.