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Finding the Third Proportional to 865,064.81 and 1,896,721.31

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Solution

The third proportional to 865,064.81 and 1,896,721.31 is: 4,158,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,064.81 : 1,896,721.31 = 1,896,721.31 : x
  2. Step 2: Convert to fraction form
    865,064.81/1,896,721.31 = 1,896,721.31/x
  3. Step 3: Cross multiply
    865,064.81x = 1,896,721.31 × 1,896,721.31
  4. Step 4: Simplify right side
    865,064.81x = 3,597,551,737,291.72
  5. Step 5: Solve for x
    x = 3,597,551,737,291.72/865,064.81
  6. Step 6: Final answer
    x = 4,158,707.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.