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Finding the Third Proportional to 559,122 and 1,206,769.50

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Solution

The third proportional to 559,122 and 1,206,769.50 is: 2,604,606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,122 : 1,206,769.50 = 1,206,769.50 : x
  2. Step 2: Convert to fraction form
    559,122/1,206,769.50 = 1,206,769.50/x
  3. Step 3: Cross multiply
    559,122x = 1,206,769.50 × 1,206,769.50
  4. Step 4: Simplify right side
    559,122x = 1,456,292,626,130.25
  5. Step 5: Solve for x
    x = 1,456,292,626,130.25/559,122
  6. Step 6: Final answer
    x = 2,604,606.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.