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Finding the Third Proportional to 590,814 and 1,299,726

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Solution

The third proportional to 590,814 and 1,299,726 is: 2,859,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,814 : 1,299,726 = 1,299,726 : x
  2. Step 2: Convert to fraction form
    590,814/1,299,726 = 1,299,726/x
  3. Step 3: Cross multiply
    590,814x = 1,299,726 × 1,299,726
  4. Step 4: Simplify right side
    590,814x = 1,689,287,675,076
  5. Step 5: Solve for x
    x = 1,689,287,675,076/590,814
  6. Step 6: Final answer
    x = 2,859,254.65

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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.