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Finding the Third Proportional to 1,457,592 and 3,195,984

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Solution

The third proportional to 1,457,592 and 3,195,984 is: 7,007,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,592 : 3,195,984 = 3,195,984 : x
  2. Step 2: Convert to fraction form
    1,457,592/3,195,984 = 3,195,984/x
  3. Step 3: Cross multiply
    1,457,592x = 3,195,984 × 3,195,984
  4. Step 4: Simplify right side
    1,457,592x = 10,214,313,728,256
  5. Step 5: Solve for x
    x = 10,214,313,728,256/1,457,592
  6. Step 6: Final answer
    x = 7,007,663.14

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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.