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Finding the Third Proportional to 654,185 and 1,386,060

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Solution

The third proportional to 654,185 and 1,386,060 is: 2,936,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,185 : 1,386,060 = 1,386,060 : x
  2. Step 2: Convert to fraction form
    654,185/1,386,060 = 1,386,060/x
  3. Step 3: Cross multiply
    654,185x = 1,386,060 × 1,386,060
  4. Step 4: Simplify right side
    654,185x = 1,921,162,323,600
  5. Step 5: Solve for x
    x = 1,921,162,323,600/654,185
  6. Step 6: Final answer
    x = 2,936,726.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.