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Finding the Third Proportional to 588,538 and 1,310,316

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Solution

The third proportional to 588,538 and 1,310,316 is: 2,917,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,538 : 1,310,316 = 1,310,316 : x
  2. Step 2: Convert to fraction form
    588,538/1,310,316 = 1,310,316/x
  3. Step 3: Cross multiply
    588,538x = 1,310,316 × 1,310,316
  4. Step 4: Simplify right side
    588,538x = 1,716,928,019,856
  5. Step 5: Solve for x
    x = 1,716,928,019,856/588,538
  6. Step 6: Final answer
    x = 2,917,276.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.