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Finding the Third Proportional to 744,309 and 1,614,647

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Solution

The third proportional to 744,309 and 1,614,647 is: 3,502,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,309 : 1,614,647 = 1,614,647 : x
  2. Step 2: Convert to fraction form
    744,309/1,614,647 = 1,614,647/x
  3. Step 3: Cross multiply
    744,309x = 1,614,647 × 1,614,647
  4. Step 4: Simplify right side
    744,309x = 2,607,084,934,609
  5. Step 5: Solve for x
    x = 2,607,084,934,609/744,309
  6. Step 6: Final answer
    x = 3,502,691.67

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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.