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Finding the Third Proportional to 624,824 and 1,362,724

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Solution

The third proportional to 624,824 and 1,362,724 is: 2,972,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,824 : 1,362,724 = 1,362,724 : x
  2. Step 2: Convert to fraction form
    624,824/1,362,724 = 1,362,724/x
  3. Step 3: Cross multiply
    624,824x = 1,362,724 × 1,362,724
  4. Step 4: Simplify right side
    624,824x = 1,857,016,700,176
  5. Step 5: Solve for x
    x = 1,857,016,700,176/624,824
  6. Step 6: Final answer
    x = 2,972,063.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.