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Finding the Third Proportional to 753,038 and 1,147,204

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Solution

The third proportional to 753,038 and 1,147,204 is: 1,747,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,038 : 1,147,204 = 1,147,204 : x
  2. Step 2: Convert to fraction form
    753,038/1,147,204 = 1,147,204/x
  3. Step 3: Cross multiply
    753,038x = 1,147,204 × 1,147,204
  4. Step 4: Simplify right side
    753,038x = 1,316,077,017,616
  5. Step 5: Solve for x
    x = 1,316,077,017,616/753,038
  6. Step 6: Final answer
    x = 1,747,690.05

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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.