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Finding the Third Proportional to 666,421.50 and 1,439,032

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Solution

The third proportional to 666,421.50 and 1,439,032 is: 3,107,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,421.50 : 1,439,032 = 1,439,032 : x
  2. Step 2: Convert to fraction form
    666,421.50/1,439,032 = 1,439,032/x
  3. Step 3: Cross multiply
    666,421.50x = 1,439,032 × 1,439,032
  4. Step 4: Simplify right side
    666,421.50x = 2,070,813,097,024
  5. Step 5: Solve for x
    x = 2,070,813,097,024/666,421.50
  6. Step 6: Final answer
    x = 3,107,362.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.