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Finding the Third Proportional to 741,900 and 1,602,072

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Solution

The third proportional to 741,900 and 1,602,072 is: 3,459,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,900 : 1,602,072 = 1,602,072 : x
  2. Step 2: Convert to fraction form
    741,900/1,602,072 = 1,602,072/x
  3. Step 3: Cross multiply
    741,900x = 1,602,072 × 1,602,072
  4. Step 4: Simplify right side
    741,900x = 2,566,634,693,184
  5. Step 5: Solve for x
    x = 2,566,634,693,184/741,900
  6. Step 6: Final answer
    x = 3,459,542.65

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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.