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Finding the Third Proportional to 1,225,586 and 1,830,963

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Solution

The third proportional to 1,225,586 and 1,830,963 is: 2,735,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,586 : 1,830,963 = 1,830,963 : x
  2. Step 2: Convert to fraction form
    1,225,586/1,830,963 = 1,830,963/x
  3. Step 3: Cross multiply
    1,225,586x = 1,830,963 × 1,830,963
  4. Step 4: Simplify right side
    1,225,586x = 3,352,425,507,369
  5. Step 5: Solve for x
    x = 3,352,425,507,369/1,225,586
  6. Step 6: Final answer
    x = 2,735,365.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.