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Finding the Third Proportional to 738,022.03 and 1,205,123.53

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Solution

The third proportional to 738,022.03 and 1,205,123.53 is: 1,967,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,022.03 : 1,205,123.53 = 1,205,123.53 : x
  2. Step 2: Convert to fraction form
    738,022.03/1,205,123.53 = 1,205,123.53/x
  3. Step 3: Cross multiply
    738,022.03x = 1,205,123.53 × 1,205,123.53
  4. Step 4: Simplify right side
    738,022.03x = 1,452,322,725,572.47
  5. Step 5: Solve for x
    x = 1,452,322,725,572.47/738,022.03
  6. Step 6: Final answer
    x = 1,967,858.23

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.