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Finding the Third Proportional to 1,001,796 and 2,161,416

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Solution

The third proportional to 1,001,796 and 2,161,416 is: 4,663,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,796 : 2,161,416 = 2,161,416 : x
  2. Step 2: Convert to fraction form
    1,001,796/2,161,416 = 2,161,416/x
  3. Step 3: Cross multiply
    1,001,796x = 2,161,416 × 2,161,416
  4. Step 4: Simplify right side
    1,001,796x = 4,671,719,125,056
  5. Step 5: Solve for x
    x = 4,671,719,125,056/1,001,796
  6. Step 6: Final answer
    x = 4,663,343.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.