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Finding the Third Proportional to 590,856 and 1,299,804

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Solution

The third proportional to 590,856 and 1,299,804 is: 2,859,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,856 : 1,299,804 = 1,299,804 : x
  2. Step 2: Convert to fraction form
    590,856/1,299,804 = 1,299,804/x
  3. Step 3: Cross multiply
    590,856x = 1,299,804 × 1,299,804
  4. Step 4: Simplify right side
    590,856x = 1,689,490,438,416
  5. Step 5: Solve for x
    x = 1,689,490,438,416/590,856
  6. Step 6: Final answer
    x = 2,859,394.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.