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Finding the Third Proportional to 804,769 and 1,207,251.50

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Solution

The third proportional to 804,769 and 1,207,251.50 is: 1,811,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,769 : 1,207,251.50 = 1,207,251.50 : x
  2. Step 2: Convert to fraction form
    804,769/1,207,251.50 = 1,207,251.50/x
  3. Step 3: Cross multiply
    804,769x = 1,207,251.50 × 1,207,251.50
  4. Step 4: Simplify right side
    804,769x = 1,457,456,184,252.25
  5. Step 5: Solve for x
    x = 1,457,456,184,252.25/804,769
  6. Step 6: Final answer
    x = 1,811,024.26

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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.