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Finding the Third Proportional to 599,457 and 1,283,937

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Solution

The third proportional to 599,457 and 1,283,937 is: 2,749,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,457 : 1,283,937 = 1,283,937 : x
  2. Step 2: Convert to fraction form
    599,457/1,283,937 = 1,283,937/x
  3. Step 3: Cross multiply
    599,457x = 1,283,937 × 1,283,937
  4. Step 4: Simplify right side
    599,457x = 1,648,494,219,969
  5. Step 5: Solve for x
    x = 1,648,494,219,969/599,457
  6. Step 6: Final answer
    x = 2,749,979.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.