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Finding the Third Proportional to 1,462,968 and 3,128,733

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Solution

The third proportional to 1,462,968 and 3,128,733 is: 6,691,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,968 : 3,128,733 = 3,128,733 : x
  2. Step 2: Convert to fraction form
    1,462,968/3,128,733 = 3,128,733/x
  3. Step 3: Cross multiply
    1,462,968x = 3,128,733 × 3,128,733
  4. Step 4: Simplify right side
    1,462,968x = 9,788,970,185,289
  5. Step 5: Solve for x
    x = 9,788,970,185,289/1,462,968
  6. Step 6: Final answer
    x = 6,691,171.77

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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.