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Finding the Third Proportional to 1,185,729 and 1,775,337

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Solution

The third proportional to 1,185,729 and 1,775,337 is: 2,658,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,729 : 1,775,337 = 1,775,337 : x
  2. Step 2: Convert to fraction form
    1,185,729/1,775,337 = 1,775,337/x
  3. Step 3: Cross multiply
    1,185,729x = 1,775,337 × 1,775,337
  4. Step 4: Simplify right side
    1,185,729x = 3,151,821,463,569
  5. Step 5: Solve for x
    x = 3,151,821,463,569/1,185,729
  6. Step 6: Final answer
    x = 2,658,129.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.