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Finding the Third Proportional to 560,372 and 1,245,160

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Solution

The third proportional to 560,372 and 1,245,160 is: 2,766,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,372 : 1,245,160 = 1,245,160 : x
  2. Step 2: Convert to fraction form
    560,372/1,245,160 = 1,245,160/x
  3. Step 3: Cross multiply
    560,372x = 1,245,160 × 1,245,160
  4. Step 4: Simplify right side
    560,372x = 1,550,423,425,600
  5. Step 5: Solve for x
    x = 1,550,423,425,600/560,372
  6. Step 6: Final answer
    x = 2,766,775.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.