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Finding the Third Proportional to 1,930,034 and 4,125,112

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Solution

The third proportional to 1,930,034 and 4,125,112 is: 8,816,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930,034 : 4,125,112 = 4,125,112 : x
  2. Step 2: Convert to fraction form
    1,930,034/4,125,112 = 4,125,112/x
  3. Step 3: Cross multiply
    1,930,034x = 4,125,112 × 4,125,112
  4. Step 4: Simplify right side
    1,930,034x = 17,016,549,012,544
  5. Step 5: Solve for x
    x = 17,016,549,012,544/1,930,034
  6. Step 6: Final answer
    x = 8,816,709.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.