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Finding the Third Proportional to 1,537,573.50 and 2,344,268.25

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Solution

The third proportional to 1,537,573.50 and 2,344,268.25 is: 3,574,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,573.50 : 2,344,268.25 = 2,344,268.25 : x
  2. Step 2: Convert to fraction form
    1,537,573.50/2,344,268.25 = 2,344,268.25/x
  3. Step 3: Cross multiply
    1,537,573.50x = 2,344,268.25 × 2,344,268.25
  4. Step 4: Simplify right side
    1,537,573.50x = 5,495,593,627,958.06
  5. Step 5: Solve for x
    x = 5,495,593,627,958.06/1,537,573.50
  6. Step 6: Final answer
    x = 3,574,198.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.