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Finding the Third Proportional to 4,282,754 and 6,460,419

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Solution

The third proportional to 4,282,754 and 6,460,419 is: 9,745,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282,754 : 6,460,419 = 6,460,419 : x
  2. Step 2: Convert to fraction form
    4,282,754/6,460,419 = 6,460,419/x
  3. Step 3: Cross multiply
    4,282,754x = 6,460,419 × 6,460,419
  4. Step 4: Simplify right side
    4,282,754x = 41,737,013,655,561
  5. Step 5: Solve for x
    x = 41,737,013,655,561/4,282,754
  6. Step 6: Final answer
    x = 9,745,367.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.