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Finding the Third Proportional to 1,865,398 and 4,016,190

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Solution

The third proportional to 1,865,398 and 4,016,190 is: 8,646,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,398 : 4,016,190 = 4,016,190 : x
  2. Step 2: Convert to fraction form
    1,865,398/4,016,190 = 4,016,190/x
  3. Step 3: Cross multiply
    1,865,398x = 4,016,190 × 4,016,190
  4. Step 4: Simplify right side
    1,865,398x = 16,129,782,116,100
  5. Step 5: Solve for x
    x = 16,129,782,116,100/1,865,398
  6. Step 6: Final answer
    x = 8,646,831.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.