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Finding the Third Proportional to 947,172 and 1,448,952

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Solution

The third proportional to 947,172 and 1,448,952 is: 2,216,558.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,172 : 1,448,952 = 1,448,952 : x
  2. Step 2: Convert to fraction form
    947,172/1,448,952 = 1,448,952/x
  3. Step 3: Cross multiply
    947,172x = 1,448,952 × 1,448,952
  4. Step 4: Simplify right side
    947,172x = 2,099,461,898,304
  5. Step 5: Solve for x
    x = 2,099,461,898,304/947,172
  6. Step 6: Final answer
    x = 2,216,558.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.