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Finding the Third Proportional to 666,441 and 1,465,695

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Solution

The third proportional to 666,441 and 1,465,695 is: 3,223,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,441 : 1,465,695 = 1,465,695 : x
  2. Step 2: Convert to fraction form
    666,441/1,465,695 = 1,465,695/x
  3. Step 3: Cross multiply
    666,441x = 1,465,695 × 1,465,695
  4. Step 4: Simplify right side
    666,441x = 2,148,261,833,025
  5. Step 5: Solve for x
    x = 2,148,261,833,025/666,441
  6. Step 6: Final answer
    x = 3,223,483.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.