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Finding the Third Proportional to 484,764 and 1,057,656

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Solution

The third proportional to 484,764 and 1,057,656 is: 2,307,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,764 : 1,057,656 = 1,057,656 : x
  2. Step 2: Convert to fraction form
    484,764/1,057,656 = 1,057,656/x
  3. Step 3: Cross multiply
    484,764x = 1,057,656 × 1,057,656
  4. Step 4: Simplify right side
    484,764x = 1,118,636,214,336
  5. Step 5: Solve for x
    x = 1,118,636,214,336/484,764
  6. Step 6: Final answer
    x = 2,307,589.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.