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Finding the Third Proportional to 780,026.06 and 1,198,424.81

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Solution

The third proportional to 780,026.06 and 1,198,424.81 is: 1,841,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,026.06 : 1,198,424.81 = 1,198,424.81 : x
  2. Step 2: Convert to fraction form
    780,026.06/1,198,424.81 = 1,198,424.81/x
  3. Step 3: Cross multiply
    780,026.06x = 1,198,424.81 × 1,198,424.81
  4. Step 4: Simplify right side
    780,026.06x = 1,436,222,031,215.66
  5. Step 5: Solve for x
    x = 1,436,222,031,215.66/780,026.06
  6. Step 6: Final answer
    x = 1,841,248.77

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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.