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Finding the Third Proportional to 1,538,692.50 and 3,562,096.50

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Solution

The third proportional to 1,538,692.50 and 3,562,096.50 is: 8,246,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,692.50 : 3,562,096.50 = 3,562,096.50 : x
  2. Step 2: Convert to fraction form
    1,538,692.50/3,562,096.50 = 3,562,096.50/x
  3. Step 3: Cross multiply
    1,538,692.50x = 3,562,096.50 × 3,562,096.50
  4. Step 4: Simplify right side
    1,538,692.50x = 12,688,531,475,312.25
  5. Step 5: Solve for x
    x = 12,688,531,475,312.25/1,538,692.50
  6. Step 6: Final answer
    x = 8,246,307.48

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.