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Finding the Third Proportional to 807,004 and 1,208,957

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Solution

The third proportional to 807,004 and 1,208,957 is: 1,811,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,004 : 1,208,957 = 1,208,957 : x
  2. Step 2: Convert to fraction form
    807,004/1,208,957 = 1,208,957/x
  3. Step 3: Cross multiply
    807,004x = 1,208,957 × 1,208,957
  4. Step 4: Simplify right side
    807,004x = 1,461,577,027,849
  5. Step 5: Solve for x
    x = 1,461,577,027,849/807,004
  6. Step 6: Final answer
    x = 1,811,114.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.