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Finding the Third Proportional to 1,347,905 and 2,942,806

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Solution

The third proportional to 1,347,905 and 2,942,806 is: 6,424,864.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,905 : 2,942,806 = 2,942,806 : x
  2. Step 2: Convert to fraction form
    1,347,905/2,942,806 = 2,942,806/x
  3. Step 3: Cross multiply
    1,347,905x = 2,942,806 × 2,942,806
  4. Step 4: Simplify right side
    1,347,905x = 8,660,107,153,636
  5. Step 5: Solve for x
    x = 8,660,107,153,636/1,347,905
  6. Step 6: Final answer
    x = 6,424,864.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.