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Finding the Third Proportional to 1,214,727 and 2,658,270

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Solution

The third proportional to 1,214,727 and 2,658,270 is: 5,817,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,727 : 2,658,270 = 2,658,270 : x
  2. Step 2: Convert to fraction form
    1,214,727/2,658,270 = 2,658,270/x
  3. Step 3: Cross multiply
    1,214,727x = 2,658,270 × 2,658,270
  4. Step 4: Simplify right side
    1,214,727x = 7,066,399,392,900
  5. Step 5: Solve for x
    x = 7,066,399,392,900/1,214,727
  6. Step 6: Final answer
    x = 5,817,273.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.