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Finding the Third Proportional to 744,990 and 1,658,607

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Solution

The third proportional to 744,990 and 1,658,607 is: 3,692,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,990 : 1,658,607 = 1,658,607 : x
  2. Step 2: Convert to fraction form
    744,990/1,658,607 = 1,658,607/x
  3. Step 3: Cross multiply
    744,990x = 1,658,607 × 1,658,607
  4. Step 4: Simplify right side
    744,990x = 2,750,977,180,449
  5. Step 5: Solve for x
    x = 2,750,977,180,449/744,990
  6. Step 6: Final answer
    x = 3,692,636.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.