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Finding the Third Proportional to 1,724,712.75 and 2,678,180.63

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Solution

The third proportional to 1,724,712.75 and 2,678,180.63 is: 4,158,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,712.75 : 2,678,180.63 = 2,678,180.63 : x
  2. Step 2: Convert to fraction form
    1,724,712.75/2,678,180.63 = 2,678,180.63/x
  3. Step 3: Cross multiply
    1,724,712.75x = 2,678,180.63 × 2,678,180.63
  4. Step 4: Simplify right side
    1,724,712.75x = 7,172,651,460,125.39
  5. Step 5: Solve for x
    x = 7,172,651,460,125.39/1,724,712.75
  6. Step 6: Final answer
    x = 4,158,751.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.