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Finding the Third Proportional to 739,073 and 1,029,715

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Solution

The third proportional to 739,073 and 1,029,715 is: 1,434,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,073 : 1,029,715 = 1,029,715 : x
  2. Step 2: Convert to fraction form
    739,073/1,029,715 = 1,029,715/x
  3. Step 3: Cross multiply
    739,073x = 1,029,715 × 1,029,715
  4. Step 4: Simplify right side
    739,073x = 1,060,312,981,225
  5. Step 5: Solve for x
    x = 1,060,312,981,225/739,073
  6. Step 6: Final answer
    x = 1,434,652.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.