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Finding the Third Proportional to 618,267 and 1,302,957

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Solution

The third proportional to 618,267 and 1,302,957 is: 2,745,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,267 : 1,302,957 = 1,302,957 : x
  2. Step 2: Convert to fraction form
    618,267/1,302,957 = 1,302,957/x
  3. Step 3: Cross multiply
    618,267x = 1,302,957 × 1,302,957
  4. Step 4: Simplify right side
    618,267x = 1,697,696,943,849
  5. Step 5: Solve for x
    x = 1,697,696,943,849/618,267
  6. Step 6: Final answer
    x = 2,745,896.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.