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Finding the Third Proportional to 1,711,210 and 3,642,644

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Solution

The third proportional to 1,711,210 and 3,642,644 is: 7,754,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711,210 : 3,642,644 = 3,642,644 : x
  2. Step 2: Convert to fraction form
    1,711,210/3,642,644 = 3,642,644/x
  3. Step 3: Cross multiply
    1,711,210x = 3,642,644 × 3,642,644
  4. Step 4: Simplify right side
    1,711,210x = 13,268,855,310,736
  5. Step 5: Solve for x
    x = 13,268,855,310,736/1,711,210
  6. Step 6: Final answer
    x = 7,754,077.71

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.