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Finding the Third Proportional to 1,214,072 and 1,748,788

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Solution

The third proportional to 1,214,072 and 1,748,788 is: 2,519,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,072 : 1,748,788 = 1,748,788 : x
  2. Step 2: Convert to fraction form
    1,214,072/1,748,788 = 1,748,788/x
  3. Step 3: Cross multiply
    1,214,072x = 1,748,788 × 1,748,788
  4. Step 4: Simplify right side
    1,214,072x = 3,058,259,468,944
  5. Step 5: Solve for x
    x = 3,058,259,468,944/1,214,072
  6. Step 6: Final answer
    x = 2,519,009.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.