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Finding the Third Proportional to 719,944 and 1,546,733

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Solution

The third proportional to 719,944 and 1,546,733 is: 3,323,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,944 : 1,546,733 = 1,546,733 : x
  2. Step 2: Convert to fraction form
    719,944/1,546,733 = 1,546,733/x
  3. Step 3: Cross multiply
    719,944x = 1,546,733 × 1,546,733
  4. Step 4: Simplify right side
    719,944x = 2,392,382,973,289
  5. Step 5: Solve for x
    x = 2,392,382,973,289/719,944
  6. Step 6: Final answer
    x = 3,323,012.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.