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Finding the Third Proportional to 588,333 and 1,284,559

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Solution

The third proportional to 588,333 and 1,284,559 is: 2,804,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,333 : 1,284,559 = 1,284,559 : x
  2. Step 2: Convert to fraction form
    588,333/1,284,559 = 1,284,559/x
  3. Step 3: Cross multiply
    588,333x = 1,284,559 × 1,284,559
  4. Step 4: Simplify right side
    588,333x = 1,650,091,824,481
  5. Step 5: Solve for x
    x = 1,650,091,824,481/588,333
  6. Step 6: Final answer
    x = 2,804,690.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.