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Finding the Third Proportional to 654,180.75 and 1,386,051.75

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Solution

The third proportional to 654,180.75 and 1,386,051.75 is: 2,936,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,180.75 : 1,386,051.75 = 1,386,051.75 : x
  2. Step 2: Convert to fraction form
    654,180.75/1,386,051.75 = 1,386,051.75/x
  3. Step 3: Cross multiply
    654,180.75x = 1,386,051.75 × 1,386,051.75
  4. Step 4: Simplify right side
    654,180.75x = 1,921,139,453,678.06
  5. Step 5: Solve for x
    x = 1,921,139,453,678.06/654,180.75
  6. Step 6: Final answer
    x = 2,936,710.46

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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.