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Finding the Third Proportional to 719,838 and 1,558,908

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Solution

The third proportional to 719,838 and 1,558,908 is: 3,376,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,838 : 1,558,908 = 1,558,908 : x
  2. Step 2: Convert to fraction form
    719,838/1,558,908 = 1,558,908/x
  3. Step 3: Cross multiply
    719,838x = 1,558,908 × 1,558,908
  4. Step 4: Simplify right side
    719,838x = 2,430,194,152,464
  5. Step 5: Solve for x
    x = 2,430,194,152,464/719,838
  6. Step 6: Final answer
    x = 3,376,029.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.