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Finding the Third Proportional to 588,363 and 1,270,035

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Solution

The third proportional to 588,363 and 1,270,035 is: 2,741,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,363 : 1,270,035 = 1,270,035 : x
  2. Step 2: Convert to fraction form
    588,363/1,270,035 = 1,270,035/x
  3. Step 3: Cross multiply
    588,363x = 1,270,035 × 1,270,035
  4. Step 4: Simplify right side
    588,363x = 1,612,988,901,225
  5. Step 5: Solve for x
    x = 1,612,988,901,225/588,363
  6. Step 6: Final answer
    x = 2,741,485.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.