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Finding the Third Proportional to 437,347 and 909,609

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Solution

The third proportional to 437,347 and 909,609 is: 1,891,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,347 : 909,609 = 909,609 : x
  2. Step 2: Convert to fraction form
    437,347/909,609 = 909,609/x
  3. Step 3: Cross multiply
    437,347x = 909,609 × 909,609
  4. Step 4: Simplify right side
    437,347x = 827,388,532,881
  5. Step 5: Solve for x
    x = 827,388,532,881/437,347
  6. Step 6: Final answer
    x = 1,891,835.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.