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Finding the Third Proportional to 610,840.50 and 1,238,097

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Solution

The third proportional to 610,840.50 and 1,238,097 is: 2,509,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,840.50 : 1,238,097 = 1,238,097 : x
  2. Step 2: Convert to fraction form
    610,840.50/1,238,097 = 1,238,097/x
  3. Step 3: Cross multiply
    610,840.50x = 1,238,097 × 1,238,097
  4. Step 4: Simplify right side
    610,840.50x = 1,532,884,181,409
  5. Step 5: Solve for x
    x = 1,532,884,181,409/610,840.50
  6. Step 6: Final answer
    x = 2,509,467.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.