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Finding the Third Proportional to 749,675 and 1,096,395.50

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Solution

The third proportional to 749,675 and 1,096,395.50 is: 1,603,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,675 : 1,096,395.50 = 1,096,395.50 : x
  2. Step 2: Convert to fraction form
    749,675/1,096,395.50 = 1,096,395.50/x
  3. Step 3: Cross multiply
    749,675x = 1,096,395.50 × 1,096,395.50
  4. Step 4: Simplify right side
    749,675x = 1,202,083,092,420.25
  5. Step 5: Solve for x
    x = 1,202,083,092,420.25/749,675
  6. Step 6: Final answer
    x = 1,603,472.29

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.