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Finding the Third Proportional to 719,963 and 1,546,769

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Solution

The third proportional to 719,963 and 1,546,769 is: 3,323,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,963 : 1,546,769 = 1,546,769 : x
  2. Step 2: Convert to fraction form
    719,963/1,546,769 = 1,546,769/x
  3. Step 3: Cross multiply
    719,963x = 1,546,769 × 1,546,769
  4. Step 4: Simplify right side
    719,963x = 2,392,494,339,361
  5. Step 5: Solve for x
    x = 2,392,494,339,361/719,963
  6. Step 6: Final answer
    x = 3,323,079.57

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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.