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Finding the Third Proportional to 738,864 and 1,595,844

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Solution

The third proportional to 738,864 and 1,595,844 is: 3,446,802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,864 : 1,595,844 = 1,595,844 : x
  2. Step 2: Convert to fraction form
    738,864/1,595,844 = 1,595,844/x
  3. Step 3: Cross multiply
    738,864x = 1,595,844 × 1,595,844
  4. Step 4: Simplify right side
    738,864x = 2,546,718,072,336
  5. Step 5: Solve for x
    x = 2,546,718,072,336/738,864
  6. Step 6: Final answer
    x = 3,446,802.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.