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Finding the Third Proportional to 442,964 and 1,039,946

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Solution

The third proportional to 442,964 and 1,039,946 is: 2,441,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,964 : 1,039,946 = 1,039,946 : x
  2. Step 2: Convert to fraction form
    442,964/1,039,946 = 1,039,946/x
  3. Step 3: Cross multiply
    442,964x = 1,039,946 × 1,039,946
  4. Step 4: Simplify right side
    442,964x = 1,081,487,682,916
  5. Step 5: Solve for x
    x = 1,081,487,682,916/442,964
  6. Step 6: Final answer
    x = 2,441,479.86

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.