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Finding the Third Proportional to 1,853,926 and 4,061,314

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Solution

The third proportional to 1,853,926 and 4,061,314 is: 8,896,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853,926 : 4,061,314 = 4,061,314 : x
  2. Step 2: Convert to fraction form
    1,853,926/4,061,314 = 4,061,314/x
  3. Step 3: Cross multiply
    1,853,926x = 4,061,314 × 4,061,314
  4. Step 4: Simplify right side
    1,853,926x = 16,494,271,406,596
  5. Step 5: Solve for x
    x = 16,494,271,406,596/1,853,926
  6. Step 6: Final answer
    x = 8,896,941.63

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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.