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Finding the Third Proportional to 1,870,431.75 and 4,039,237.13

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Solution

The third proportional to 1,870,431.75 and 4,039,237.13 is: 8,722,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870,431.75 : 4,039,237.13 = 4,039,237.13 : x
  2. Step 2: Convert to fraction form
    1,870,431.75/4,039,237.13 = 4,039,237.13/x
  3. Step 3: Cross multiply
    1,870,431.75x = 4,039,237.13 × 4,039,237.13
  4. Step 4: Simplify right side
    1,870,431.75x = 16,315,436,551,978.27
  5. Step 5: Solve for x
    x = 16,315,436,551,978.27/1,870,431.75
  6. Step 6: Final answer
    x = 8,722,818.44

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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.