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Finding the Third Proportional to 960,721 and 1,473,643

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Solution

The third proportional to 960,721 and 1,473,643 is: 2,260,410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,721 : 1,473,643 = 1,473,643 : x
  2. Step 2: Convert to fraction form
    960,721/1,473,643 = 1,473,643/x
  3. Step 3: Cross multiply
    960,721x = 1,473,643 × 1,473,643
  4. Step 4: Simplify right side
    960,721x = 2,171,623,691,449
  5. Step 5: Solve for x
    x = 2,171,623,691,449/960,721
  6. Step 6: Final answer
    x = 2,260,410.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.