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Finding the Third Proportional to 1,237,656 and 1,969,353

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Solution

The third proportional to 1,237,656 and 1,969,353 is: 3,133,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237,656 : 1,969,353 = 1,969,353 : x
  2. Step 2: Convert to fraction form
    1,237,656/1,969,353 = 1,969,353/x
  3. Step 3: Cross multiply
    1,237,656x = 1,969,353 × 1,969,353
  4. Step 4: Simplify right side
    1,237,656x = 3,878,351,238,609
  5. Step 5: Solve for x
    x = 3,878,351,238,609/1,237,656
  6. Step 6: Final answer
    x = 3,133,626.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.