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Finding the Third Proportional to 464,766 and 1,014,816

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Solution

The third proportional to 464,766 and 1,014,816 is: 2,215,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,766 : 1,014,816 = 1,014,816 : x
  2. Step 2: Convert to fraction form
    464,766/1,014,816 = 1,014,816/x
  3. Step 3: Cross multiply
    464,766x = 1,014,816 × 1,014,816
  4. Step 4: Simplify right side
    464,766x = 1,029,851,513,856
  5. Step 5: Solve for x
    x = 1,029,851,513,856/464,766
  6. Step 6: Final answer
    x = 2,215,849.51

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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.