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Finding the Third Proportional to 671,355 and 1,460,763

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Solution

The third proportional to 671,355 and 1,460,763 is: 3,178,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,355 : 1,460,763 = 1,460,763 : x
  2. Step 2: Convert to fraction form
    671,355/1,460,763 = 1,460,763/x
  3. Step 3: Cross multiply
    671,355x = 1,460,763 × 1,460,763
  4. Step 4: Simplify right side
    671,355x = 2,133,828,542,169
  5. Step 5: Solve for x
    x = 2,133,828,542,169/671,355
  6. Step 6: Final answer
    x = 3,178,390.78

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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.