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Finding the Third Proportional to 738,786 and 1,595,684

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Solution

The third proportional to 738,786 and 1,595,684 is: 3,446,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,786 : 1,595,684 = 1,595,684 : x
  2. Step 2: Convert to fraction form
    738,786/1,595,684 = 1,595,684/x
  3. Step 3: Cross multiply
    738,786x = 1,595,684 × 1,595,684
  4. Step 4: Simplify right side
    738,786x = 2,546,207,427,856
  5. Step 5: Solve for x
    x = 2,546,207,427,856/738,786
  6. Step 6: Final answer
    x = 3,446,474.93

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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.