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Finding the Third Proportional to 1,996,741 and 4,307,590

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Solution

The third proportional to 1,996,741 and 4,307,590 is: 9,292,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,741 : 4,307,590 = 4,307,590 : x
  2. Step 2: Convert to fraction form
    1,996,741/4,307,590 = 4,307,590/x
  3. Step 3: Cross multiply
    1,996,741x = 4,307,590 × 4,307,590
  4. Step 4: Simplify right side
    1,996,741x = 18,555,331,608,100
  5. Step 5: Solve for x
    x = 18,555,331,608,100/1,996,741
  6. Step 6: Final answer
    x = 9,292,808.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.