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Finding the Third Proportional to 711,268 and 1,678,930

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Solution

The third proportional to 711,268 and 1,678,930 is: 3,963,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,268 : 1,678,930 = 1,678,930 : x
  2. Step 2: Convert to fraction form
    711,268/1,678,930 = 1,678,930/x
  3. Step 3: Cross multiply
    711,268x = 1,678,930 × 1,678,930
  4. Step 4: Simplify right side
    711,268x = 2,818,805,944,900
  5. Step 5: Solve for x
    x = 2,818,805,944,900/711,268
  6. Step 6: Final answer
    x = 3,963,071.51

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.