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Finding the Third Proportional to 671,346 and 1,420,452

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Solution

The third proportional to 671,346 and 1,420,452 is: 3,005,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,346 : 1,420,452 = 1,420,452 : x
  2. Step 2: Convert to fraction form
    671,346/1,420,452 = 1,420,452/x
  3. Step 3: Cross multiply
    671,346x = 1,420,452 × 1,420,452
  4. Step 4: Simplify right side
    671,346x = 2,017,683,884,304
  5. Step 5: Solve for x
    x = 2,017,683,884,304/671,346
  6. Step 6: Final answer
    x = 3,005,430.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.