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Finding the Third Proportional to 598,599 and 1,292,154

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Solution

The third proportional to 598,599 and 1,292,154 is: 2,789,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,599 : 1,292,154 = 1,292,154 : x
  2. Step 2: Convert to fraction form
    598,599/1,292,154 = 1,292,154/x
  3. Step 3: Cross multiply
    598,599x = 1,292,154 × 1,292,154
  4. Step 4: Simplify right side
    598,599x = 1,669,661,959,716
  5. Step 5: Solve for x
    x = 1,669,661,959,716/598,599
  6. Step 6: Final answer
    x = 2,789,282.91

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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.