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Finding the Third Proportional to 1,852,867.41 and 4,015,020.66

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Solution

The third proportional to 1,852,867.41 and 4,015,020.66 is: 8,700,239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852,867.41 : 4,015,020.66 = 4,015,020.66 : x
  2. Step 2: Convert to fraction form
    1,852,867.41/4,015,020.66 = 4,015,020.66/x
  3. Step 3: Cross multiply
    1,852,867.41x = 4,015,020.66 × 4,015,020.66
  4. Step 4: Simplify right side
    1,852,867.41x = 16,120,390,870,114.18
  5. Step 5: Solve for x
    x = 16,120,390,870,114.18/1,852,867.41
  6. Step 6: Final answer
    x = 8,700,239.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.