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Finding the Third Proportional to 2,853,856 and 4,186,176

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Solution

The third proportional to 2,853,856 and 4,186,176 is: 6,140,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,856 : 4,186,176 = 4,186,176 : x
  2. Step 2: Convert to fraction form
    2,853,856/4,186,176 = 4,186,176/x
  3. Step 3: Cross multiply
    2,853,856x = 4,186,176 × 4,186,176
  4. Step 4: Simplify right side
    2,853,856x = 17,524,069,502,976
  5. Step 5: Solve for x
    x = 17,524,069,502,976/2,853,856
  6. Step 6: Final answer
    x = 6,140,488.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.