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Finding the Third Proportional to 2,133,909 and 4,070,988

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Solution

The third proportional to 2,133,909 and 4,070,988 is: 7,766,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,909 : 4,070,988 = 4,070,988 : x
  2. Step 2: Convert to fraction form
    2,133,909/4,070,988 = 4,070,988/x
  3. Step 3: Cross multiply
    2,133,909x = 4,070,988 × 4,070,988
  4. Step 4: Simplify right side
    2,133,909x = 16,572,943,296,144
  5. Step 5: Solve for x
    x = 16,572,943,296,144/2,133,909
  6. Step 6: Final answer
    x = 7,766,471.44

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.