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Finding the Third Proportional to 1,773,856 and 4,021,216

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Solution

The third proportional to 1,773,856 and 4,021,216 is: 9,115,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773,856 : 4,021,216 = 4,021,216 : x
  2. Step 2: Convert to fraction form
    1,773,856/4,021,216 = 4,021,216/x
  3. Step 3: Cross multiply
    1,773,856x = 4,021,216 × 4,021,216
  4. Step 4: Simplify right side
    1,773,856x = 16,170,178,118,656
  5. Step 5: Solve for x
    x = 16,170,178,118,656/1,773,856
  6. Step 6: Final answer
    x = 9,115,834.72

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.