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Finding the Third Proportional to 738,096 and 1,614,536

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Solution

The third proportional to 738,096 and 1,614,536 is: 3,531,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,096 : 1,614,536 = 1,614,536 : x
  2. Step 2: Convert to fraction form
    738,096/1,614,536 = 1,614,536/x
  3. Step 3: Cross multiply
    738,096x = 1,614,536 × 1,614,536
  4. Step 4: Simplify right side
    738,096x = 2,606,726,495,296
  5. Step 5: Solve for x
    x = 2,606,726,495,296/738,096
  6. Step 6: Final answer
    x = 3,531,690.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.