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Finding the Third Proportional to 730,000 and 1,560,880

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Solution

The third proportional to 730,000 and 1,560,880 is: 3,337,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,000 : 1,560,880 = 1,560,880 : x
  2. Step 2: Convert to fraction form
    730,000/1,560,880 = 1,560,880/x
  3. Step 3: Cross multiply
    730,000x = 1,560,880 × 1,560,880
  4. Step 4: Simplify right side
    730,000x = 2,436,346,374,400
  5. Step 5: Solve for x
    x = 2,436,346,374,400/730,000
  6. Step 6: Final answer
    x = 3,337,460.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.