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Finding the Third Proportional to 671,469 and 1,460,928

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Solution

The third proportional to 671,469 and 1,460,928 is: 3,178,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,469 : 1,460,928 = 1,460,928 : x
  2. Step 2: Convert to fraction form
    671,469/1,460,928 = 1,460,928/x
  3. Step 3: Cross multiply
    671,469x = 1,460,928 × 1,460,928
  4. Step 4: Simplify right side
    671,469x = 2,134,310,621,184
  5. Step 5: Solve for x
    x = 2,134,310,621,184/671,469
  6. Step 6: Final answer
    x = 3,178,569.11

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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.