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Finding the Third Proportional to 669,719 and 1,469,501

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Solution

The third proportional to 669,719 and 1,469,501 is: 3,224,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,719 : 1,469,501 = 1,469,501 : x
  2. Step 2: Convert to fraction form
    669,719/1,469,501 = 1,469,501/x
  3. Step 3: Cross multiply
    669,719x = 1,469,501 × 1,469,501
  4. Step 4: Simplify right side
    669,719x = 2,159,433,189,001
  5. Step 5: Solve for x
    x = 2,159,433,189,001/669,719
  6. Step 6: Final answer
    x = 3,224,386.93

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Why These Related Problems?

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