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Finding the Third Proportional to 474,927 and 1,025,629

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Solution

The third proportional to 474,927 and 1,025,629 is: 2,214,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,927 : 1,025,629 = 1,025,629 : x
  2. Step 2: Convert to fraction form
    474,927/1,025,629 = 1,025,629/x
  3. Step 3: Cross multiply
    474,927x = 1,025,629 × 1,025,629
  4. Step 4: Simplify right side
    474,927x = 1,051,914,845,641
  5. Step 5: Solve for x
    x = 1,051,914,845,641/474,927
  6. Step 6: Final answer
    x = 2,214,897.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.