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Finding the Third Proportional to 815,697 and 1,749,533

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Solution

The third proportional to 815,697 and 1,749,533 is: 3,752,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,697 : 1,749,533 = 1,749,533 : x
  2. Step 2: Convert to fraction form
    815,697/1,749,533 = 1,749,533/x
  3. Step 3: Cross multiply
    815,697x = 1,749,533 × 1,749,533
  4. Step 4: Simplify right side
    815,697x = 3,060,865,718,089
  5. Step 5: Solve for x
    x = 3,060,865,718,089/815,697
  6. Step 6: Final answer
    x = 3,752,454.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.