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Finding the Third Proportional to 1,062,900 and 1,614,033

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Solution

The third proportional to 1,062,900 and 1,614,033 is: 2,450,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062,900 : 1,614,033 = 1,614,033 : x
  2. Step 2: Convert to fraction form
    1,062,900/1,614,033 = 1,614,033/x
  3. Step 3: Cross multiply
    1,062,900x = 1,614,033 × 1,614,033
  4. Step 4: Simplify right side
    1,062,900x = 2,605,102,525,089
  5. Step 5: Solve for x
    x = 2,605,102,525,089/1,062,900
  6. Step 6: Final answer
    x = 2,450,938.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.