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Finding the Third Proportional to 1,865,409 and 4,016,208

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Solution

The third proportional to 1,865,409 and 4,016,208 is: 8,646,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,409 : 4,016,208 = 4,016,208 : x
  2. Step 2: Convert to fraction form
    1,865,409/4,016,208 = 4,016,208/x
  3. Step 3: Cross multiply
    1,865,409x = 4,016,208 × 4,016,208
  4. Step 4: Simplify right side
    1,865,409x = 16,129,926,699,264
  5. Step 5: Solve for x
    x = 16,129,926,699,264/1,865,409
  6. Step 6: Final answer
    x = 8,646,857.98

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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.