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Finding the Third Proportional to 464,758 and 1,014,810

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Solution

The third proportional to 464,758 and 1,014,810 is: 2,215,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,758 : 1,014,810 = 1,014,810 : x
  2. Step 2: Convert to fraction form
    464,758/1,014,810 = 1,014,810/x
  3. Step 3: Cross multiply
    464,758x = 1,014,810 × 1,014,810
  4. Step 4: Simplify right side
    464,758x = 1,029,839,336,100
  5. Step 5: Solve for x
    x = 1,029,839,336,100/464,758
  6. Step 6: Final answer
    x = 2,215,861.45

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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.