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Finding the Third Proportional to 622,560 and 1,406,784

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Solution

The third proportional to 622,560 and 1,406,784 is: 3,178,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,560 : 1,406,784 = 1,406,784 : x
  2. Step 2: Convert to fraction form
    622,560/1,406,784 = 1,406,784/x
  3. Step 3: Cross multiply
    622,560x = 1,406,784 × 1,406,784
  4. Step 4: Simplify right side
    622,560x = 1,979,041,222,656
  5. Step 5: Solve for x
    x = 1,979,041,222,656/622,560
  6. Step 6: Final answer
    x = 3,178,876.29

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.