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Finding the Third Proportional to 588,536 and 1,310,312

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Solution

The third proportional to 588,536 and 1,310,312 is: 2,917,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,536 : 1,310,312 = 1,310,312 : x
  2. Step 2: Convert to fraction form
    588,536/1,310,312 = 1,310,312/x
  3. Step 3: Cross multiply
    588,536x = 1,310,312 × 1,310,312
  4. Step 4: Simplify right side
    588,536x = 1,716,917,537,344
  5. Step 5: Solve for x
    x = 1,716,917,537,344/588,536
  6. Step 6: Final answer
    x = 2,917,268.51

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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.