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Finding the Third Proportional to 1,291,671 and 1,992,011

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Solution

The third proportional to 1,291,671 and 1,992,011 is: 3,072,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,671 : 1,992,011 = 1,992,011 : x
  2. Step 2: Convert to fraction form
    1,291,671/1,992,011 = 1,992,011/x
  3. Step 3: Cross multiply
    1,291,671x = 1,992,011 × 1,992,011
  4. Step 4: Simplify right side
    1,291,671x = 3,968,107,824,121
  5. Step 5: Solve for x
    x = 3,968,107,824,121/1,291,671
  6. Step 6: Final answer
    x = 3,072,073.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.