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Finding the Third Proportional to 610,243.31 and 1,276,255.13

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Solution

The third proportional to 610,243.31 and 1,276,255.13 is: 2,669,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,243.31 : 1,276,255.13 = 1,276,255.13 : x
  2. Step 2: Convert to fraction form
    610,243.31/1,276,255.13 = 1,276,255.13/x
  3. Step 3: Cross multiply
    610,243.31x = 1,276,255.13 × 1,276,255.13
  4. Step 4: Simplify right side
    610,243.31x = 1,628,827,144,088.77
  5. Step 5: Solve for x
    x = 1,628,827,144,088.77/610,243.31
  6. Step 6: Final answer
    x = 2,669,143.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.